CIRCLE SYSTEM-04- (ASSIGNMNT) PART-II

222. If (a, b) is a point on the chord AB of the circle, where the ends of the chord are A = (2, – 3) and B = (3, 2) then (a) (b) (c) (d) None of these 223. The equation of the circle with the chord of the circle as its diameter is (a) (b) (c) (d) None of these 224. The radius of the circle, having centre at (2, 1), whose one of the chord is a diameter of the circle (a) 1 (b) 2 (c) 3 (d) 225. The equation of the chord of the circle of length 8 that passes through the point and makes an acute angle with the positive direction of the x-axis is (a) (b) (c) (d) None of these 226. is a point on the circle and Q is another point on the circle such that arc circumference. The coordinates of Q are (a) (b) (c) (d) None of these 227. If a line passing through the point and making an angle 135o with x-axis cuts the circle at points A and B, then length of the chord AB is (a) 10 (b) 20 (c) 5 (d) 228. Equation of chord AB of circle passing through P (2, 2) such that PB/PA = 3, is given by (a) (b) (c) (d) None of these 229. If a chord of the circle makes equal intercepts of length a on the coordinate axes, then (a) | a | < 8 (b) (c) (d) 230. The distance between the chords of contact of the tangent to the circle from the origin and the point (g, f) is (a) (b) (c) (d) 231. If the straight line intersects the circle in points P and Q, then the coordinates of the point of intersection of tangents drawn at P and Q to the circle are (a) (25, 50) (b) (– 25, – 50) (c) (– 25, 50) (d) (25, – 50) 232. If the chord of contact of tangents drawn from the point (h, k) to the circle subtends a right angle at the centre, then (a) (b) (c) (d) 233. The chord of contact of the pair of tangents drawn from each point on the line to the circle pass through the point (a) (1/2, – 1/4) (b) (1/2, 1/4) (c) (– 1/2, 1/4) (d) (– 1/2, – 1/4) 234. If the tangents are drawn to the circle at the point where it meets the circle , then the point of intersection of these tangents is (a) (6, – 6) (b) (6, 18/5) (c) (6, –18/5) (d) None of these 235. A tangent to the circle through the point (0, 5) cuts the circle at A and B. The tangents to the circle at A and B meet at C. The coordinates of C are (a) (b) (c) (d) None of these 236. Tangents drawn from (2, 0) to the circle touch the circle at A and B. Then (a) (b) (c) (d) 237. The equation of the chord of the circle having as its mid-point is (a) (b) (c) (d) 238. From the origin chords are drawn to the circle The equation of the locus of the middle points of these chords is (a) (b) (c) (d) 239. The equation to the chord of the circle whose middle point is (1, – 2) is (a) (b) (c) (d) 240. The locus of the middle point of chords of the circle which pass through the fixed point (h, k) is (a) (b) (c) (d) 241. Equation of the chord of the circle whose mid point is (1, 0) is (a) y = 2 (b) y = 1 (c) x = 2 (d) x = 1 242. The equation of a chord of the circle which is bisected at the point (1, 1) is (a) (b) (c) (d) 243. The locus of the mid points of the chords of the circle which are drawn from the origin, is (a) (b) (c) (d) 244. The locus of the middle points of chords of the circle which passes through the origin, is (a) (b) (c) (d) 245. The locus of mid-point of the chords of the circle which makes an angle of 120o at the centre is (a) (b) (c) (d) None of these 246. If the equation of a given circle is then the length of the chord which lies along the line is (a) (b) (c) (d) None of these 247. The locus of the mid-points of a chord of the circle which subtends a right angle at the origin is (a) (b) (c) (d) 248. The equation of the locus of the middle point of a chord of the circle such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is (a) (b) (c) (d) None of these 249. The locus of the mid-point of chords of length 2l of the circle is (a) (b) (c) (d) 250. The equation of the director circle of the circle is (a) (b) (c) (d) 251. If is a diameter of the circle , then the value of k is (a) 1/2 (b) – 1/2 (c) 1 (d) – 1 252. The equation of the diameter of the circle passing through the origin is (a) (b) (c) (d) 253. The locus of the point of intersection of perpendicular tangents to the circle is (a) A circle passing through origin (b) A circle of radius 2a (c) A concentric circle of radius (d) None of these 254. The equation of director circle of the circle is (a) (b) (c) (d) None of these 255. The equation of the diameter of the circle which is perpendicular to the line is (a) (b) (c) (d) None of these 256. A point on the line from which the tangents drawn to the circle are at right angles is (a) (b) (c) (d) 257. The coordinates of pole of line with respect to circle is (a) (b) (c) (d) 258. The equation of polar of the point (1, 2) with respect to the circle is (a) (b) (c) (d) 259. If polar of a circle with respect to is , then its pole will be (a) (b) (c) (d) 260. Polar of origin (0, 0) with respect to the circle touches circle if (a) (b) (c) (d) 261. The polar of the point w.r.t. circle is (a) (b) (c) (d) 262. The pole of the line w.r.t. circle is (a) (32, 48) (b) (48, 32) (c) (– 32, 48) (d) (48, – 32) 263. The pole of the straight line with respect to the circle is (a) (5, 5) (b) (5, 10) (c) (10, 5) (d) (10, 10) 264. The polars drawn from (– 1, 2) to the circles and are (a) Parallel (b) Equal (c) Perpendicular (d) Intersect at a point 265. Let the equation of a circle be . If then the line is the (a) Polar line of the point (h, k) with respect to the circle (b) Real chord of contact of the tangents from (h, k) to the circle (c) Equation of a tangent to the circle from the point (h, k) (d) None of these 266. The pole of the line with respect to the circle is (a) (16, 12) (b) (– 16, 12) (c) (12, 16) (d) (– 16, – 12) 267. The equation of the polar of the point (4, 4) with respect to the circle is (a) (b) (c) (d) 268. The chord of contact and polar of a circle with respect to a point are coincident iff (a) The point is inside the circle (b) The point is outside the circle (c) The point is not inside the circle (d) Never 269. The pole of the line with respect to the circle is (a) (36/7, 9/7) (b) (36/7, 16/7) (c) (16/7, 36/7) (d) None of these 270. The polar of the point (– 2, 3) w.r.t. the circle is (a) (b) (c) (d) 271. If the pole of a line w.r.t. the circle lies on the circle , then that line will touch (a) (b) (c) (d) 272. If the polar of a point (p, q) with respect to the circle touches the circle then (a) (b) (c) (d) None of these 273. The equation of a circle is With respect to the circle (a) The pole of the line is (1, 1) (b) The chord of contact of real tangents from (1, 1) is the line (c) The polar of the point (1, 1) is (d) None of these 274. If d is the distance between the centres of two circles, are their radii and , then (a) The circles touch each other externally (b) The circles touch each other internally (c) The circles cut each other (d) The circles are disjoint 275. The points of intersection of the circles and are (a) (4, 3) and (4, – 3) (b) (4, – 3) and (– 4, – 3) (c) (– 4, 3) and (4, 3) (d) (4, 3) and (3, 4) 276. Circles and (a) Touch internally (b) Touch externally (c) Intersect each other at two distinct points (d) Do not intersect each other at any point 277. For the given circles and which of the following is true (a) One circle lies inside the other (b) One circle lies completely outside the other (c) Two circle intersect in two points (d) They touch each other 278. The two circles and (a) Touch each other internally (b) Touch each other externally (c) Do not touch each other (d) None of these 279. Circles and (a) Touch each other internally (b) Touch each other externally (c) Cuts each other at two points (d) None of these 280. A tangent to the circle at the point (1, – 2) ....... to the circle (a) Touches (b) Cuts at real points (c) Cuts at imaginary points (d) None of these 281. If the circles and touch each other, then a = (a) – 4/3 (b) 0 (c) 1 (d) 4/3 282. The equation of the circle through the point of intersection of the circles and (3, – 3) is (a) (b) (c) (d) None of these 283. The locus of the centre of a circle which touches externally the circle and also touches the y-axis is given by the equation (a) (b) (c) (d) 284. Circles and touch externally, if (a) (b) (c) (d) 285. The circle passing through point of intersection of the circle S = 0 and the line P = 0 is (a) (b) (c) (d) 286. The two circles and are such that (a) They touch each other (b) They intersect each other (c) One lies inside the other (d) None of these 287. Consider the circles They are such that (a) These circles touch each other (b) One of these circles lies entirely inside the other (c) Each of these circles lies outside the other (d) They intersect in two points 288. Find the equation of the circle passing through the point ( – 2, 4) and through the points of intersection of the circle and the line (a) (b) (c) (d) 289. If the circles touch externally, then  is equal to (a) – 16 (b) 9 (c) 16 (d) 25 290. The condition that the circle lies entirely within the circle is (a) (b) (c) (d) 291. If the centre of a circle which passing through the points of intersection of the circles and is on the line then the equation of the circle is (a) (b) (c) (d) 292. The equation of a circle passing through points of intersection of the circles and and point (1, 1), is (a) (b) (c) (d) None of these 293. The equation of circle passes through the points of intersection of circles and and point (1, 1) is (a) (b) (c) (d) None of these 294. The equation of the circle having its centre on the line and passing through the points of intersection of the circles and is (a) (b) (c) (d) 295. A circle of radius 5 touches another circle at (5, 5), then its equation is (a) (b) (c) (d) None of these 296. The points of intersection of circles and are (a) (0, 0), (a, b) (b) (0, 0), (c) (0, 0), (d) None of these 297. The equation of the circle which passes through the intersection of and and whose centre lies on (a) (b) (c) (d) 298. The two circles and (a) Intersect (b) Are concentric (c) Touch internally (d) Touch externally 299. The equation of the circle passing through (1, – 3) and the points common to the two circles is (a) (b) (c) (d) None of these 300. The circles whose equations are and will touch one another externally if (a) (b) (c) (d) None of these 301. The equation of the circle and its chord are respectively and The equation of the circle of which this chord is a diameter is (a) (b) (c) (d) None of these 302. The two circles and (a) Touch each other externally (b) Touch each other internally (c) Cut each other orthogonally (d) Do not intersect 303. The circles and (a) Touch externally (b) Touch internally (c) Intersect at two points (d) Do not intersect 304. The equations of two circles are and then (a) They touch each other (b) They cut each other orthogonally (c) One circle is inside the other circle (d) None of these 305. The equation of a circle is A circle of radius 1 rolls on the outside of the circle . The locus of the centre of has the equation (a) (b) (c) (d) None of these 306. The locus of the centres of the circles passing through the intersection of the circles and is (a) A line whose equation is (b) A line whose equation is (c) A circle (d) A pair of lines 307. If circles and touch each other, then c is equal to (a) 15 (b) – 15 (c) 16 (d) – 16 308. The locus of the centre of the circle which touches externally the circle and also touches the y-axis, is (a) (b) (c) (d) 309. The circle with centre and radius touches externally the circle with centre and radius If the tangent at their common point passes through the origin, then (a) (b) (c) (d) 310. The circles and intersect each other in two distinct points if (a) r < 2 (b) r > 8 (c) 2< r < 8 (d) 311. The centre of the circle passing through (0, 0) and (1, 0) and touching the circle is (a) (b) (c) (d) 312. The locus of the centre of the circles which touch both the circles and externally has the equation (a) (b) (c) (d) None of these 313. Tangents OP and OQ are drawn from the origin O to the circle Then the equation of the circumcircle of the triangle OPQ is (a) (b) (c) (d) 314. If the circle cuts in A and B, then the equation of the circle on AB as diameter is (a) (b) (c) (d) None of these 315. The equation of the smallest circle passing through the intersection of the line and the circle is (a) (b) (c) (d) None of these 316. represents the family of circles with centres on the line (a) (b) (c) (d) 317. The number of common tangents to the circles and is (a) 1 (b) 2 (c) 3 (d) 4 318. The number of common tangents to two circles and is (a) 1 (b) 2 (c) 3 (d) 4 319. The number of common tangents to the circles is (a) 2 (b) 1 (c) 4 (d) 3 320. The circles and touch each other. The equation of their common tangent is (a) (b) (c) (d) 321. The two circles and touch each other. The equation of their common tangent is (a) (b) (c) (d) 322. The number of common tangents to the circle and is (a) 1 (b) 2 (c) 3 (d) 4 323. If then the positive value of m for which is a common tangent to and is (a) (b) (c) (d) 324. Two circles, each of radius 5, have a common tangent at (1, 1) whose equation is Then their centres are (a) (4, – 5), (– 2, 3) (b) (4, – 3), (– 2, 5) (c) (4, 5), (– 2, – 3) (d) None of these 325. The number of common tangents to the circles one of which passes through the origin and cuts off intercepts 2 from each of the axes, and the other circle has the line segment joining the origin and the point (1, 1) as a diameter, is (a) 0 (b) 1 (c) 3 (d) 2 326. The range of values of  for which the circles and have two common tangents, is (a) (b) or (c) (d) None of these 327. Two circles with radii and , touch each other externally, if '' be the angle between the direct common tangents, then (a) (b) (c) (d) None of these. 328. The common chord of the circle and is (a) (b) (c) (d) 329. The equation of line passing through the points of intersection of the circles and is (a) (b) (c) (d) None of these 330. Length of the common chord of the circles and is (a) 9 (b) 8 (c) 7 (d) 6 331. The length of the common chord of the circles and is (a) 9/2 (b) (c) (d) 3/2 332. If the circle bisects the circumference of the circle then (a) (b) (c) (d) 333. If the circle bisects the circumference of the circle then the length of the common chord of these two circles is (a) (b) (c) (d) 334. The equation of the circle described on the common chord of the circles and as diameter is (a) (b) (c) (d) 335. The distance of the point (1, 2) from the common chord of circles and is (a) 2 units (b) 3 units (c) 4 units (d) None of these 336. The length of common chord of the circles and is (a) (b) (c) (d) None of these 337. The length of common chord of the circles and is (a) (b) (c) (d) 338. The line L passes through the points of intersection of the circles and The length of perpendicular from centre of second circle onto the line L, is (a) 4 (b) 3 (c) 1 (d) 0 339. The common chord of and subtends at the origin an angle equal to (a) (b) (c) (d) 340. The length of the common chord of the circles and is (a) (b) (c) (d) 341. If the circles and touch each other, then (a) (b) (c) (d) None of these 342. If the circle intersects another circle of radius 5 in such a manner that the common chord is of maximum length and has a slope equal to 3/4, the coordinates of the centre of are (a) , (b) , (c) , (d) None of these 343. The common chord of the circle and a circle passing through the origin, and touching the line always passes through the point (a) (– 1/2, 1/2) (b) (1, 1) (c) (1/2, 1/2) (d) None of these 344. The equation of the circle drawn on the common chord of circles and as a diameter is (a) (b) (c) (d) None of these 345. The equation of the circle drawn on the common chord of circles and as diameter is (a) (b) (c) (d) 346. If a circle passes through the point (1, 2) and cuts the circle orthogonally, then the equation of the locus of its centre is (a) (b) (c) (d) 347. The locus of centre of a circle passing through (p, q) and cuts orthogonally to circle is (a) (b) (c) (d) 348. Two given circles and will intersect each other orthogonally, only when (a) (b) (c) (d) 349. Two circles and cut each other orthogonally, then (a) (b) (c) (d) 350. If the circles of same radius a and centres at (2, 3) and (5, 6) cut orthogonally, then a = (a) 1 (b) 2 (c) 3 (d) 4 351. The circles and will cut orthogonally, if c equals (a) 4 (b) 18 (c) 12 (d) 16 352. The equation of a circle that intersects the circle orthogonally and whose centre is (0, 2) is (a) (b) (c) (d) 353. If the circles and intersect orthogonally, then k is (a) 2 or (b) – 2 or (c) 2 or (d) – 2 or 354. The locus of the centre of circle which cuts the circles and orthogonally is (a) (b) (c) (d) None of these 355. If the two circles and cut orthogonally, then the value of k is (a) 41 (b) 14 (c) 4 (d) 0 356. The circles and intersect at an angle of (a) (b) (c) (d) 357. The equation of the circle having its centre on the line and passing through the point of intersection of the circles and is (a) (b) (c) (d) 358. The two circles and (a) Touch externally (b) Touch internally (c) Cut each other orthogonally (d) Do not cut each other 359. The locus of the centres of circles passing through the origin and intersecting the fixed circle orthogonally is (a) A straight line of the slope (b) A circle (c) A pair of straight lines (d) None of these 360. The angle of intersection of circles and is (a) 45o (b) 90o (c) 60o (d) 30o 361. If a circle passes through the point (a, b) and cuts the circle orthogonally, then the locus of its centre is (a) (b) (c) (d) 362. The value of , for which the circle , intersects the circle orthogonally is (a) (b) – 1 (c) (d) 363. The equation of a circle which cuts the three circles , and orthogonally is (a) (b) (c) (d) 364. The coordinates of the centre of the circle which intersects circles and orthogonally are (a) (– 2, 1) (b) ( –2, ¬ –1) (c) (2, – 1) (d) (2, 1) 365. The members of a family of circles are given by the equation . The number of circles belonging to the family that are cut orthogonally by the fixed circle is (a) 2 (b) 1 (c) 0 (d) None of these 366. The equation of radical axis of the circles and is (a) (b) (c) (d) None of these 367. The radical centre of three circles described on the three sides of a triangle as diameter is (a) The orthocentre (b) The circumcentre (c) The incentre of the triangle (d) The centroid 368. The locus of centre of the circle which cuts the circles and orthogonally is (a) An ellipse (b) The radical axis of the given circles (c) A conic (d) Another circle 369. The coordinates of the radical centre of the three circles are (a) (6, 30) (b) (0, 6) (c) (3, 0) (d) None of these 370. The equation of radical axis of the circles and is (a) (b) (c) (d) None of these 371. The radical centre of the circles is (a) (13, 33/4) (b) (33/4, – 13) (c) (33/4, 13) (d) None of these 372. The radical axis of two circles and the line joining their centres are (a) Parallel (b) Perpendicular (c) Neither parallel, nor perpendicular (d) Intersecting, but not fully perpendicular 373. Radical axis of the circles and is (a) (b) (c) (d) 374. Two tangents are drawn from a point P on radical axis to the two circles touching at Q and R respectively then triangle formed by joining PQR is (a) Isosceles (b) Equilateral (c) Right angled (d) None of these 375. Equation of radical axis of the circles and is (a) (b) (c) (d) 376. If the circle bisects the circumference of the circle , then k = (a) 21 (b) – 21 (c) 23 (d) – 23 377. The locus of a point which moves such that the tangents from it to the two circles and are equal, is given by (a) (b) (c) (d) 378. Two equal circles with their centres on x and y axes will possess the radical axis in the following form (a) (b) (c) (d) 379. The equations of two circles are and P is any point on the line If PA and PB are the lengths of the tangents from P to the two circles and PA = 3 then PB is equal to (a) 1.5 (b) 6 (c) 3 (d) None of these 380. The locus of a point from which the lengths of the tangents to the circles and are equal is (a) A straight line inclined at /4 with the line joining the centres of the circles (b) A circle (c) An ellipse (d) A straight line perpendicular to the line joining the centres of the circles 381. The equation of the radical axis of circles and is (a) (b) (c) (d) None of these 382. The equation of the radical axis of circles and is (a) (b) (c) (d) None of these 383. If three circles are such that each intersects the remaining two, then their radical axes (a) Form a triangle (b) Are coincident (c) Concurrent (d) Parallel 384. If a circle bisects the circumference of another circle then their radical axis (a) Passes through the centre of S1 (b) Passes through the centre of S2 (c) Bisects the line joining their centres (d) None of these 385. If two circles intersect a third circle orthogonally, then their radical axis (a) Touches the third circle (b) Passes through the centre of the third circle (c) Does not intersect the third circle (d) None of these 386. The radical axis of two circles (a) Always intersects both the circles (b) Intersects only one circle (c) Bisects the line joining their centres (d) Bisects every common tangent to those circles 387. If the radical axis of circles and passes through the point (1, – 1), then p is equal to (a) – 1 (b) 10 (c) – 14 (d) 14 388. The radical centre of circles and is (a) (0, 0) (b) (a, 0) (c) (0, b) (d) (a, b) 389. The equation of the radical axis of circles and is (a) (b) (c) (d) None of these 390. If the radical axis of the circles and touches the circle then (a) and (b) and (c) and (d) None of these 391. If (1, 2) is the radical centre of circle and then (a) (b) (c) (d) 392. is the equation of the radical axis of two circle which intersect orthogonally. If the equation of one of these circles is then the equation of the other is (a) (b) (c) (d) None of these 393. Origin is a limiting point of a coaxial system of which is a member. The other limiting point is (a) (– 2, – 4) (b) (c) (d) 394. If (3, ) and (5, 6) are conjugate points with respect to circle then  equals (a) 2 (b) – 2 (c) 3 (d) 4 395. One of the limiting point of the coaxial system of circles containing is (a) (– 1, 1) (b) (– 1, 2) (c) (– 2, 1) (d) (– 2, 2) 396. The co-axial system of circles given by for c < 0 represents. (a) Intersecting circles (b) Non intersecting circles (c) Touching circles (d) Touching or non-intersecting circles 397. The limit of the perimeter of the regular n-gons inscribed in a circle of radius R as is (a) 2R (b) R (c) 4 R (d) 398. A, B, C and D are the points of intersection with the coordinate axes of the lines ax + by = ab and then (a) are concyclic (b) A, B, C, D form a parallelogram (c) A, B, C, D form a rhombus (d) None of these 399. If the points (2, 0), (0, 1), (4, 5) and (0, c) are concyclic, then c is equal to (a) (b) (c) (d) None of these 400. Line cuts circle in P and Q and the line cuts the circle in R and S. If the four points P, Q, R and S are concyclic, then (a) 1 (b) 0 (c) – 1 (d) None of these 401. A circle is inscribed in an equilateral triangle of side a, the area of any square inscribed in the circle is (a) (b) (c) (d) 402. Any circle through the points of intersection of the lines and if intersects these lines at points P and Q, then the angle subtended by the arc PQ at its centre is (a) 180o (b) 90o (c) 120o (d) Depends on centre of radius 403. The area of the triangle formed by joining the origin to the points of intersection of the line and circle is (a) 3 (b) 4 (c) 5 (d) 6 404. Let AB be a chord of the circle subtending a right angle at the centre. Then the locus of the centroid of the PAB as P moves on the circle is (a) A parabola (b) A circle (c) An ellipse (d) A pair of straight lines 405. A square is inscribed in the circle with its sides parallel to the coordinate axes. The coordinates of its vertices are (a) (– 6, – 9), (– 6, 5), (8, – 9), (8, 5) (b) (– 6, 9), (– 6, – 5), (8, – 9), (8, 5) (c) (– 6, – 9), (– 6, 5), (8, 9), (8, 5) (d) (– 6, – 9), (– 6, 5), (8, – 9), (8, – 5) 406. If the lines and cut the coordinate axes in concyclic points, then (a) (b) (c) (d) None of these 407. Let P be a point on the circle a point on the line and the perpendicular bisector of PQ be the line . Then the coordinates of P are (a) (3, 0) (b) (0, 3) (c) (d) 408. A line meets the coordinate axes in A and B. A circle is circumscribed about the triangle OAB. The distances from the end points A, B of the side AB to the tangent at O are equal to m and n respectively. Then the diameter of the circle is (a) (b) (c) (d) None of these 409. If the circle is touched by at P such that then the value of c is (a) 36 (b) 144 (c) 72 (d) None of these 410. One of the diameters of the circle circumscribing the rectangle ABCD is If A and B are the points (–3, 4) and (5, 4) respectively, then the area of the rectangle is (a) 16 sq. units (b) 24 sq. units (c) 32 sq. units (d) None of these 411. The maximum number of points with rational coordinates on a circle whose centre is is (a) One (b) Two (c) Four (d) Infinite 412. The locus of co-ordinates of the centre of the circumcircle of the regular hexagon whose two consecutive vertices have the coordinates ( –1, 0) and (1, 0) and which lies wholly above the x-axis, are (a) (b) (c) (d) None of these 413. For each let denote the circle whose equation is On the circle , a particle moves k units in the anticlockwise direction. After completing its motion on , the particle moves to in the radial direction. The motion of the particle continues in this manner. The particle starts at (1, 0). If the particle crosses the positive direction of the x-axis for the first time on the circle , then n is (a) 7 (b) 6 (c) 2 (d) None of these 414. A ray of light incident at the point (– 2, – 1) gets reflected from the tangent at (0, – 1) to the circle The reflected ray touches the circle. The equation of the line along which the incident ray moved is (a) (b) (c) (d) None of these 415. The point P moves in the plane of a regular hexagon such that the sum of the squares of its distances from the vertices of the hexagon is If the radius of the circumcircle of the hexagon is then the locus of P is (a) A pair of straight lines (b) An ellipse (c) A circle of radius (d) An ellipse of major axis a and minor axis r 416. The equation of a circle is A regular hexagon is inscribed in the circle whose one vertex is (2, 0). Then a consecutive vertex has the coordinates (a) (b) (c) (d) 417. A point moves on the circle and after covering a quarter of the circle leaves it tangentially. The equation of a line along which the point moves after leaving the circle is (a) (b) (c) (d) 418. If the curves and intersect at four concyclic points then the value of a is (a) 4 (b) – 4 (c) 6 (d) – 6