STRAIGHT LINE -02-(ASSIGNMENT)

1. The equation of the straight line which passes through the point and cuts off equal intercepts from axes, is (a) (b) (c) (d) 2. Equation of the straight line making equal intercepts on the axes and passing through the point (2, 4) is (a) (b) (c) (d) 3. In the equation if and are fixed and different lines are drawn for different values of , then (a) The lines will pass through a single point (b) There will be a set of parallel lines (c) There will be one line only (d) None of these 4. The equation of the straight line passing through the point (3, 2) and perpendicular to the line is (a) (b) (c) (d) 5. The equation of the line perpendicular to the line and passing through the point at which it cuts x-axis, is (a) (b) (c) (d) 6. The equation of the line passing through the point (1, 2) and perpendicular to the line is (a) (b) (c) (d) 7. If the equations and represent the same straight line, then (a) (b) (c) (d) 8. A line passes through the point of intersection of and and parallel to the line is (a) (b) (c) (d) 9. The equation of straight line passing through the intersection of the lines and and parallel to is (a) (b) (c) (d) 10. The equation of the line joining the origin to the point (–4, 5) is (a) (b) (c) (d) 11. The equation of the line which cuts off an intercept 3 units on OX and an intercept –2 unit on OY, is (a) (b) (c) (d) 12. The equation of a line through (3, – 4) and perpendicular to the line is (a) (b) (c) (d) 13. Equation of the line passing through (1, 2) and parallel to the line is (a) (b) (c) (d) 14. Equation of the line passing through (–1, 1) and perpendicular to the line is (a) (b) (c) (d) 15. The equation of line passing through (c, d) and parallel to is (a) (b) (c) (d) None of these 16. The equation of a line through the intersection of lines and and through the point is (a) (b) (c) (d) 17. Equation of a line through the origin and perpendicular to the line joining (a, 0) and is (a) (b) (c) (d) 18. For what values of a and b the intercepts cut off on the coordinate axes by the line are equal in length but opposite in signs to those cut off by the line on the axes (a) (b) (c) (d) 19. For specifying a straight line how many geometrical parameters should be known (a) 1 (b) 2 (c) 4 (d) 3 20. The equation of line passing through point of intersection of line and and the point is (a) (b) (c) (d) 21. A line perpendicular to the line and passes through . The equation of the line is (a) (b) (c) (d) None of these 22. If the line passing through (4, 3) and (2, k) is perpendicular to then k= (a) –1 (b) 1 (c) –4 (d) 4 23. The line passes through (1,0) and makes an angle of ....with x-axis (a) (b) (c) (d) 24. If a and b are two arbitrary constants, then the straight line will pass through (a) (b) (c) (d) 25. The equation of line passing through the point of intersection of the lines and and parallel to the line , is (a) (b) (c) (d) 26. The equation of line passing through (4, –6) and makes an angle with positive x-axis, is (a) (b) (c) (d) None of these 27. The straight line passes through the point of intersection of the straight lines and is (a) (b) (c) (d) 28. The equation to the straight line passing through the point and perpendicular to the line , is (a) (b) (c) (d) None of these 29. Equation of the right bisector of the line segment joining the points (7, 4) and (–1, –2) is (a) (b) (c) (d) None of these 30. Equations of lines which passes through the points of intersection of the lines and and are equally inclined to the axes are (a) (b) (c) (d) None of these 31. Equation of line passing through (1, 2) and perpendicular to is (a) (b) (c) (d) 32. The equation of a straight line passing through the points (–5, –6) and (3, 10) is (a) (b) (c) (d) None of these 33. A straight line through P(1, 2) is such that its intercept between the axes is bisected at P. Its equation is (a) (b) (c) (d) 34. The equation to the straight line passing through the point of intersection of the lines and and perpendicular to the line is (a) (b) (c) (d) 35. The opposite vertices of a square are (1, 2) and (3, 8), then the equation of a diagonal of the square passing through the point (1, 2) is (a) (b) (c) (d) None of these 36. If the straight line always passes through (1, –2), then a,b,c, are (a) In A.P. (b) In H.P. (c) In G.P. (d) None of these 37. The equation of the straight line joining the origin to the point of intersection of and is (a) (b) (c) (d) 38. A straight line makes an angle of with the x-axis and cuts -axis at a distance –5 from the origin. The equation of the line is (a) (b) (c) (d) 39. If line meets the lines and at the same point, then m equals (a) 1 (b) –1 (c) 2 (d) –2 40. Equation of a line passing through (1, – 2) and perpendicular to the line is (a) (b) (c) (d) 41. The line cuts the x-axis at P. The equation of the line through P perpendicular to the given line is (a) (b) (c) (d) 42. The equation of line perpendicular to is (a) (b) (c) (d) None of these 43. The inclination of the straight line passing through the point and the midpoint of the line joining the point (4, –5) and (–2,9) is (a) (b) (c) (d) 44. If the intercept made by the line between the axis is bisected at the point (5, 2), then its equation is (a) (b) (c) (d) 45. The equation of the line passing through (1, 1) and parallel to the line is (a) (b) (c) (d) 46. The equation of a straight line passing through origin and through the point of intersection of lines and is (a) (b) (c) (d) 47. The equations and will represent the same line, if (a) (b) and and or (c) (d) 48. The straight line passing through the point of intersection of the straight lines and and having infinite slope and at a distance of 2 units from the origin, has the equation (a) (b) (c) (d) None of these 49. The equation of the line whose slope is 3 and which cuts off an intercept 3 from the positive x-axis is (a) (b) (c) (d) None of these 50. The equations of the lines which cuts off an intercept –1 from y-axis and are equally inclined to the axes are (a) (b) (c) (d) None of these 51. If the line segment joining (2,3) and (–1, 2) is divided internally in the ratio 3:4 by the line , then is (a) (b) (c) (d) 52. If and be three vertices of a square, then the diagonal through B is (a) (b) (c) (d) None of these 53. In what ratio the line divides the line joining the points and (a) 1: 2 (b) 2: 1 (c) 2: 3 (d) 3: 4 54. For the straight lines given by the equation , for different values of k which of the following statements is true (a) Lines are parallel (b) Lines pass through the point (–2, 9) (c) Lines pass through the point (d) None of these 55. The line joining two points , is rotated about A in anti-clockwise direction through an angle of . The equation of the line in the new position, is (a) (b) (c) (d) 56. If the slope of a line passing through the point be 3/4 , then the points on the line which are 5 units away from A, are (a) (b) (c) (d) 57. The equation of a line passing through the point of intersection of the lines , and perpendicular to the line is given by (a) (b) (c) (d) 58. Equations of diagonals of square formed by lines and are (a) (b) (c) (d) 59. If the middle points of the sides and of the triangle be (1, 3), (5, 7) and (–5, 7), then the equation of the side is (a) (b) (c) (d) None of these 60. Given the four lines with equations , and , then these lines are (a) Concurrent (b) Perpendicular (c) The sides of a rectangle (d) None of these 61. The equation of straight line passing through (–a, 0) and making the triangle with axes of area ‘T’, is (a) (b) (c) (d) None of these 62. The points and are the opposite vertices of rectangle. The equation of line passing through other two vertices and of gradient 2, is (a) (b) (c) (d) 63. The intercept cut off from y-axis is twice that from x-axis by the line and line is passes through (1, 2) then its equation is (a) (b) (c) (d) 64. The equation of line, which bisect the line joining two points (2, –19) and (6, 1) and perpendicular to the line joining two points (–1, 3) and (5, –1), is (a) (b) (c) (d) None of these 65. The vertices of a triangle OBC are , and respectively. Then the equation of line parallel to BC which is at unit distant from origin and cuts OB and OC, is (a) (b) (c) (d) None of these 66. The equation of line whose mid point is in between the axes, is (a) (b) (c) (d) None of these 67. The intercept of a line between the coordinate axes is divided by the point (–5, 4) in the ratio 1:2. The equation of the line will be (a) (b) (c) (d) None of these 68. The diagonal passing through origin of a quadrilateral formed by and , is (a) (b) (c) (d) None of these 69. Equation of one of the sides of an isosceles right angled triangle whose hypotenuse is and the opposite vertex of the hypotenuse is (2, 2), will be (a) (b) (c) (d) 70. A line passes through the point meets the line BC whose equation is at the point B. The equation to the line AC so that , is (a) (b) (c) (d) 71. Equation of the line which passes through the point (–4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5:3 by this point, is (a) (b) (c) (d) None of these 72. A line is such that its segment between the straight lines and is bisected at the point (1, 5), then its equation is (a) (b) (c) (d) None of these 73. are opposite vertices of a square in xy-plane. The equation of the other diagonal (not passing through A, B) of the square is given by (a) (b) (c) (d) 74. The point lies on the straight line and the point lies on the straight line , then the equation of line is (a) (b) (c) (d) 75. If be any point on a line then the range of values of t for which the point P lies between the parallel lines and is (a) (b) (c) (d) None of these 76. The equations of the sides and of the are , and respectively. The equation of the altitude through B is (a) (b) (c) (d) None of these 77. One side of a square of length a is inclined to the x-axis at an angle with one of the vertices of the square at the origin. The equation of a diagonal of the square is (a) (b) (c) (d) 78. Straight lines and intersect at the point A. Points B and C are chosen on these lines such that . Determine the possible equations of the line BC passing through the point (1, 2) (a) and (b) and (c) and (d) and 79. The base BC of a triangle ABC is bisected at the point (p, q) and the equations to the sides AB and AC are respectively and . Then the equation to the median through A is (a) (b) (c) (d) None of these 80. If a variable line drawn through the point of intersection of straight lines and meets the coordinate axes in A and B, then the locus of the mid-point of AB is (a) (b) (c) (d) None of these 81. Equation of the hour hand at 4 O' clock is (a) (b) (c) (d) 82. The points (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices lie on the line , then the other vertices and c are (a) (b) (c) (d) None of these 83. The angle between the lines and is (a) (b) (c) (d) 84. The angle between the lines and is (a) (b) (c) (d) 85. Angle between the lines and is (a) (b) (c) (d) None of these 86. The angle between the two lines and is (a) (b) (c) (d) 87. The obtuse angle between the lines and is (a) (b) (c) (d) 88. The acute angle between the lines and is (a) (b) (c) (d) 89. Angle between and is (a) (b) (c) (d) None of these 90. The angle between the lines and is (a) (b) (c) (d) 91. If the lines and are mutually perpendicular, then the value of ‘a’ will be (a) (b) 2 (c) (d) None of these 92. The lines and are perpendicular to each other if (a) (b) (c) (d) 93. The angle between the straight lines and is (a) (b) (c) (d) 94. The angle between the lines and is (a) (b) (c) (d) 95. The lines and are (a) Parallel (b) Perpendicular (c) Equally inclined to axes (d) Coincident 96. The line which is parallel to x-axis and crosses the curve at an angle of is (a) (b) (c) (d) 97. The angle between the lines whose intercepts on the axes are and respectively, is (a) (b) (c) (d) None of these 98. The line intersects the axes in A and B . If O is the origin, then equals (a) (b) (c) (d) 99. The angle between two lines is . If the slope of one of them be then the slope of the other line is (a) (b) (c) (d) None of these 100. A vertex of equilateral triangle is (2, 3) and equation of opposite side is , then the equation of one side from rest two is (a) (b) (c) (d) None of these 101. Coordinates of the vertices of a quadrilateral are (2, –1),(0, 2),(2, 3) and (4, 0) . The angle between its diagonals will be (a) (b) (c) (d) 102. In what direction a line be drawn through the point (1, 2) so that its point of intersection with the line is at a distance from the given point (a) (b) (c) (d) 103. The line passing through the points and and a line passing through and , are (a) Perpendicular (b) Parallel (c) Makes an angle with each other (d) None of these 104. Equation of the two straight lines passing through the point (3, 2) and making an angle of with the line , are (a) and (b) and (c) and (d) None of these 105. The diagonals of the parallelogram whose sides are , , include an angle (a) (b) (c) (d) 106. The sides and of a quadrilateral are respectively. The angle between diagonals and is (a) (b) (c) (d) 107. One diagonal of a square is along the line and one of its vertex is (1, 2). Then the equation of the sides of the square passing through this vertex, are (a) (b) , (c) , (d) None of these 108. The parallelism condition for two straight lines one of which is specified by the equation the other being represented parametrically by is given by (a) (b) (c) (d) 109. If straight lines and include an angle between them and meet the straight line in the same point, then the value of is equal to (a) 1 (b) 2 (c) 3 (d) 4 110. The ends of the base of an isosceles triangle are at (2a, 0) and . The equation of one side is The equation of the other side is (a) (b) (c) (d) 111. If a,b,c are in harmonic progression, then straight line always passes through a fixed point, that point is (a) (b) (c) (d) 112. Angles made with the x-axis by two lines drawn through the point (1, 2) and cutting the line at a distance from the point (1, 2) are (a) and (b) and (c) and (d) None of these 113. The equation of the line which bisects the obtuse angle between the lines and is (a) (b) (c) (d) None of these 114. Equation of angle bisectors between x and y-axes are (a) (b) (c) (d) 115. Equation of angle bisector between the lines and are (a) (b) (c) (d) None of these 116. The equation of the bisector of the acute angle between the lines and is (a) (b) (c) (d) None of these 117. The vertices of a triangle are and . The equation of the internal bisector of the angle is (a) (b) (c) (d) None of these 118. The equation (s) of the bisector (s) of that angle between the lines , , which contains the point (1, –3) is (a) (b) (c) and (d) None of these 119. The equations of two equal sides of an isosceles triangle are and and the third side passes through the point (1, –10). The equation of the third side is (a) but not (b) but not (c) or (d) Neither = 0 nor 120. Given vertices and of a triangle, then the equation of the perpendicular dropped from C to the interior bisector of the angle A is (a) (b) (c) (d) 121. The equation of bisectors of the angles between the lines are (a) and (b) and (c) and (d) None of these 122. The distance between the lines and is (a) (b) (c) 6 (d) None of these 123. The perpendicular distance of the straight line from the origin is given by (a) (b) (c) (d) 124. The length of perpendicular from (3, 1) on line , is (a) 6 (b) 7 (c) 5 (d) 8 125. The distance between two parallel lines and , is given by (a) 4 (b) 5 (c) 3 (d) 1 126. The equations of two lines through (0, a) which are at a distance 'a' from the point (2a, 2a) are (a) and (b) and (c) and (d) None of these 127. The vertices of a triangle are (2, 1), (5, 2) and (4, 4). The lengths of the perpendiculars from these vertices on the opposite sides are (a) (b) (c) (d) 128. A point moves such that its distance from the point (4, 0) is half that of its distance from the line . The locus of this point is (a) (b) (c) (d) None of these 129. The locus of a point so that sum of its distance from two given perpendicular lines is equal to 2 units, is (a) (b) (c) (d) None of these 130. Distance between the two parallel lines and is (a) (b) (c) (d) 131. The length of the perpendicular drawn from origin upon the straight line is (a) (b) (c) (d) 132. Distance between the parallel lines and is (a) (b) (c) (d) 133. The equation of the line joining the point (3, 5)to the point of intersection of the lines and is equidistant from the points and (a) True (b) False (c) Nothing can be said (d) None of these 134. Distance between the lines and is (a) (b) (c) (d) 135. The distance between the lines and is (a) (b) (c) (d) 136. The distance of the line from the point (1, 1) measured parallel to the line is (a) (b) (c) (d) 6 137. The distance between the parallel lines and is (a) (b) 1 (c) (d) 138. The position of the point with respect to the lines and is (a) Point lies on the same side of the lines (b) Point lies on the different sides of the line (c) Point lies on one of the lines (d) None of these 139. Consider the lines and point Then (a) Point ‘A’ lies between the lines (b) Sum of perpendicular distance from A to the lines (c) Distance between lines is (d) None of these 140. A point moves so that square of its distance from the point (3, –2) is numerically equal to its distance from the line . The equation of the locus of the point is (a) (b) (c) (d) None of these 141. The points on the line which lie at a unit distance from the line , are (a) (b) (c) (d) 142. A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from (2, 0),(0, 2) and (1, 1) on the line is zero, then the coordinates of the P are (a) (1, –1) (b) (1, 1) (c) (2, 1) (d) (2, 2) 143. A line L passes through the points (1, 1) and (2, 0) and another line L passes through and perpendicular to L. Then the area of the triangle formed by the lines L, L' and y-axis, is (a) (b) (c) (d) 144. Equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120o with the x-axis, is (a) (b) (c) (d) 145. Locus of the points which are at equal distance from and and which is near the origin is (a) (b) (c) (d) None of these 146. The equation of the base of an equilateral triangle is and the vertex is (2, –1). The length of the side of the triangle is (a) (b) (c) (d) None of these 147. If the straight line through the point makes an angle with the x-axis and meets the line at , then the length PQ is (a) (b) (c) (d) 148. The equations of the lines through the point of intersection of the lines and and whose distance from the point (3, 2) is is (a) and (b) and (c) and (d) None of these 149. A point equidistant from the lines , and is (a) (1, –1) (b) (1, 1) (c) (0, 0) (d) (0, 1) 150. A line through meets the lines and at B,C and D respectively. If , then the equation of the line is (a) (b) (c) (d) None of these 151. If the equation of the locus of a point equidistant from the points and is , then the value of 'c' is (a) (b) (c) (d) 152. If and be the perpendiculars from the points and respectively on the line , then and are in (a) A.P. (b) G.P. (c) H.P (d) None of these 153. If p and p' be perpendiculars from the origin upon the straight lines and respectively, then the value of the expression is (a) (b) (c) (d) 154. A family of lines is given by being the parameter. The line belonging to this family at the maximum distance from the point (1, 4) is (a) (b) (c) (d) None of these 155. If the point (a, a) falls between the lines , then (a) (b) (c) (d) 156. The value of k for which the lines , and are concurrent is given by (a) – 45 (b) 44 (c) 54 (d) –54 157. For what value of 'a' the lines and are concurrent (a) 0 (b) –1 (c) 2 (d) 3 158. The lines and are (a) Parallel (b) Perpendicular (c) Concurrent (d) None of these 159. The lines , and are concurrent for (a) All a (b) only (c) (d) only 160. The value of for which the lines and meet at a point is (a) 2 (b) 1 (c) 4 (d) 3 161. Three lines and are concurrent, then a = (a) 2 (b) 3 (c) –1 (d) –2 162. If the lines and are concurrent, then the value of q will be (a) 1 (b) 2 (c) 3 (d) 5 163. The equation of the line with gradient which is concurrent with the lines and is (a) (b) (c) (d) None of these 164. If lines and are concurrent, then value of m is (a) 1 (b) 0 (c) –1 (d) 2 165. The lines , where are concurrent at the point (a) (b) (c) (d) 166. The equations and will represent the same line, if (a) (b) (c) (d) 167. If the lines , and are concurrent, then a, b, c are in (a) A.P (b) G.P (c) H.P (d) None of these 168. If the lines , and being distinct and different from 1) are concurrent, then (a) 0 (b) 1 (c) (d) None of these 169. The three straight lines and are collinear, if (a) (b) (c) (d) 170. The three lines and are (a) Sides of a triangle (b) Concurrent (c) Parallel (d) None of these 171. The coordinate of the foot of perpendicular from the point (2, 3) on the line are (a) (– 6, 5) (b) (5, 6) (c) (–5, 6) (d) (6, 5) 172. The coordinate of the foot of the perpendicular from the point (2,3) on the line are given by (a) (b) (c) (d) 173. If the coordinates of the middle point of the portion of a line intercepted between coordinate axes (3, 2), then the equation of the line will be (a) (b) (c) (d) 174. Coordinates of the foot of the perpendicular drawn from (0, 0) to the line joining and , are (a) (b) (c) (d) None of these 175. The pedal points of a perpendicular drawn from origin on the line ,is (a) (b) (c) (d) 176. The coordinates of the foot of the perpendicular from to the line are (a) (b) (c) (d) None of these 177. The area of the triangle bounded by the straight line , and the coordinate axes is (a) (b) (c) (d) 0 178. The image of the point (4, –3)with respect to the line is (a) (b) (c) (d) 179. The triangle formed by the lines is (a) Isosceles (b) Equilateral (c) Right -angled (d) None of these 180. The diagonals of a parallelogram are along the lines and . Then PQRS must be a (a) Rectangle (b) Square (c) Cyclic quadrilateral (d) Rhombus 181. Two points A and B have coordinates (1, 1) and (3, –2) respectively. The coordinates of a point distant from B on the line through B perpendicular to AB are (a) (4, 7) (b) (7, 4) (c) (5, 7) (d) (–5, –3) 182. The line meets y-axis at A and x-axis at B. The perpendicular bisector of AB meets the line through (0, –1) parallel to x-axis at C. The area of the triangle ABC is (a) 182 sq.units (b) 91 sq. units (c) 48 sq. units (d) None of these 183. The area of a parallelogram formed by the lines , is (a) (b) (c) (d) None of these 184. The area of triangle formed by the lines and , is (a) ab (b) ab/2 (c) 2ab (d) ab/3 185. A line L is perpendicular to the line and the area of the triangle formed by the line L and coordinate axes is 5. The equation of the line L is (a) (b) (c) (d) 186. The point (4, 1) undergoes the following two successive transformations (i) Reflection about the line (ii) Translation through a distance 2 units along the positive x-axis Then the final coordinates of the point are (a) (4, 3) (b) (3, 4) (c) (1, 4) (d) 187. A straight line moves so that the sum of the reciprocals of its intercepts on two perpendicular lines is constant, then the line passes through (a) A fixed point (b) A variable point (c) Origin (d) None of these 188. The line meets the x-axis at A and y-axis at B. The line through (5, 5) perpendicular to AB meets the x-axis, y-axis and the AB at C, D and E respectively. If O is the origin of coordinates, then the area of OCEB is (a) 23 sq. units (b) sq.units (c) sq. units (d) None of these 189. The locus of a point P which divides the line joining (1, 0) and internally in the ratio 2 : 3 for all , is a (a) Straight line (b) Circle (c) Pair of straight lines (d) Parabola 190. Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and q, then (a) (b) (c) (d) 191. One side of a rectangle lies along the line . Two of its vertices are (–3, 1) and (1, 1). Then the equations of other sides are (a) and (b) and (c) and (d) None of these 192. Two consecutive sides of a parallelogram are and . If the equation to one diagonal is ,then the equation of the other diagonal is (a) (b) (c) (d) None of these 193. If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is (a) Square (b) Circle (c) Straight line (d) Two intersecting lines 194. A pair of straight lines drawn through the origin form with the line an isosceles right angled triangle, then the lines and the area of the triangle thus formed is [Roorkee 1993] (a) (b) (c) (d) None of these 195. P is a point on either of the two lines at a distance of 5 units from their point of intersection. The coordinates of the foot of the perpendicular from P on the bisector of the angle between them are (a) or depending on which the point P is taken (b) (c) (d) 196. A ray of light passing through the point (1, 2) is reflected on the x-axis at a point P and passes through the point (5, 3). Then the abscissa of the point P is (a) –3 (b) 13/3 (c) 13/5 (d) 13/4 197. The point moves such that the area of the triangle formed by it with the points (1, 5) and (3, –7) is 21 sq. unit. The locus of the point is (a) (b) (c) (d) 198. If for a variable line the condition (c is a constant) is satisfied, then locus of foot of perpendicular drawn from origin to the straight line is (a) (b) (c) (d) 199. Let L be the line . If the axes are rotated by , then the intercepts made by the line L on the new axes are respectively (a) and 1 (b) 1 and (c) and (d) and 200. The graph of the function is (a) A straight line passing through with slope 2 (b) A straight line passing through (0,0) (c) A parabola with vertex (d) A straight line passing through the point and parallel to the x-axis 201. Two lines are drawn through (3, 4), each of which makes angle of with the line , then area of the triangle formed by these lines is (a) 9 (b) 9/2 (c) 2 (d) 2/9 202. A point starts moving from (1, 2) and its projections on x and y-axes are moving with velocities of 3 m/s and 2 m/s respectively. Its locus is (a) (b) (c) (d) 203. If (–2, 6) is the image of the point (4, 2) with respect to line L= 0, then L= (a) (b) (c) (d) 204. The area of the parallelogram formed by the lines and equals (a) (b) (c) (d) 205. A line AB makes zero intercept on x-axis and y-axis and it is perpendicular to another line CD, . The equation of line AB is (a) (b) (c) (d) 206. Area of the parallelogram whose sides are and is (a) (b) (c) (d) None of these 207. If the transversal cut off equal intercepts on the transversal , then are in (a) A.P (b) G.P. (c) H.P. (d) None of these 208. If the extremities of the base of an isosceles triangle are the points (2a, 0) and (0, a) and the equation of one of the sides is x=2a, then the area of the triangle is (a) units (b) units (c) units (d) None of these 209. The coordinates of the four vertices of a quadrilateral are (–2, 4), (–1, 2),(1, 2) and (2, 4) taken in order. The equation of the line passing through the vertex (–1, 2) and dividing the quadrilateral in two equal areas is (a) (b) (c) (d) None of these 210. If a ray travelling along the line x =1 gets reflected from the line , then the equation of the line along which the reflected ray travels is (a) (b) (c) (d) None of these 211. If where a, b, c are of the same sign, be a line such that the area enclosed by the line and the axes of reference is unit2 , then (a) are in G.P. (b) are in G.P. (c) are in A.P. (d) are in G.P. 212. Determine all values of for which the point lies inside the triangle formed by the lines , (a) and (b) and (c) and (d) None of these 213. The symmetry in curve along (a) x-axis (b) y-axis (c) Line y = x (d) Opposite quadrants 214. If are the roots of the equation , then the area of the triangle formed by the three straight lines and is (a) , if (b) , if a < –1 (c) , if – 2 < a < – 1 (d) , if a < – 2 215. A line which makes an acute angle with the positive direction of x-axis is drawn through the point to meet the line at R and y = 8 at S, then (a) (b) (c) (d) 216. (where m, n are natural numbers) is any point in the interior of the quadrilateral formed by the pair of lines and the two lines and . The possible number of positions of the point P is (a) Six (b) Five (c) Four (d) Eleven