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Physics & Chemistry-XII 1. A charge +Q is uniformly distributed in a spherical volume of radius R. A particle of charge +q and mass m is projected with velocity v0 from the surface of the spherical volume to its centre. The minimum value of v0 such that it just reaches the centre (assume that there is no resistance on the particle except electrostatic force) of the spherical volume is Qq Qq 2Qq Qq (a) 20 mR (b)  0 mR (c) 0 mR (d) 40 mR 2. Two fixed charges –2Q and + Q are located at points (–3a, 0) and (+3a, 0) respectively. Which of the following statement is wrong? (a) points where the electric potential due to the two charges is zero, lie on a circle of radius 4a and centre (5a, 0) (b) potential is zero at x = a and x = 9a (c) if a particle of charge +q is released from the centre of the circle obtained in part (a), it will eventually cross the circle. (d) points where the electric potential due to the two charges is zero, lie on a circle of rad

Mathematics-XII MATHEMATICS 1. The value of lim sin4 x  cos2 x 4 2 is x cos x  sin x (a) 0 (b) 1 (c) ½ (d) not defined 2. Let f(x) = sinx + x. Then f–1(x) is (a) many-one and even (b) one-one and even (c) one one and odd (d) many-one and odd 3. The locus of point r satisfying | r – a | = | r – b | = | r – c |, a, b, c are collinear points, is a (a) straight line (b) circle (c) plane (d) null set dy d 2 y 4. For the growth of a function, which of the factors y, , dx dx2 is most important? (a) y (b) dy dx (c) d 2 y dx2 (d) none of these 5. a, b, c and d are complex numbers, then the value of 2 a  b  c  d ac  bd a  b  c  d 2(a  c)(b  d ) ac(b  d )  bd (a  c) is ac  bd ac(b  d )  bd (a  c) 2abcd (a) 0 (b) a + b + c + d (c) abcd 6. If A, B, C, P, Q, R  R, then the value of cos( A  P) cos( A  Q) cos( A  R) (d) ac + bd cos(B  P) cos(B  Q) cos(B  R) is cos(C  P) cos(C  Q) cos(C  R) (a) cos A cos P

Biology-XII 1. Biennials flower (1) Twice in a year (2) Once in every two years (3) First in second year and then every year (4) Only once after the completion of second season 2. The term Xenia denotes the effect of foreign pollen grain on the (1) Endosperm (2) Egg (3) Nucellus (4) Seed coat 3. The best example of polyembryony is seen in (1) Cocos (2) Citrus (3) Capsicum (4) Cycas 4. Formation of an embryo from unfertilised antipodals is (1) Apospory (2) Diplospory (3) Apogamy (4) Parthenogenesis 5. What is true about agamospermous apospory? (1) Formation of embryo from egg of embryo sac proliferated from a nucellar cell (2) Formation of embryo from egg of embryo sac formed directly from megaspore mother cell (3) Formation of embryo direct from nucellus (4) Formation of embryo direct from integument 6. The type of pollination found in Zostera is (1) Geitonogamy (2) Anemophily (3) Hydrophily (4) Entomophily 7. Mesogamy is found in (1) Cucurbita (2) Casuarina (3)

Physics & Chemistry-XI 1. A block A slides over an another block B which is placed over a smooth inclined plane as shown in figure. The coefficient of friction between the two blocks A and B is µ. Mass of block B is two times the mass of block A. The acceleration of the centre of mass of two blocks is Fixed  g sin  g cos  (a) g sin  (b) 3 g sin  (c) 3 2g sin   g cos  (d) 3 F 2. A force F acts tangentially at the highest point of a ring of mass M kept on a rough horizontal plane as shown. If the CM sphere rolls without slipping, the acceleration of centre of mass of the ring (a) 12 F 5 M (b) 15 F 7 M (c) 7 F 10 M F (d) M Comprehension s As shown in the figure, an objects of mass M1 is suspended from a massless string s3 s1 M1 1m and M2 is held stationary. Masses M1 and P2 M2 are connected to fixed frictionless 1m s2 30° 1 pivots P1 and P2 by strings s1 and s2. At M 60° time t = 0 the string s3 is cut 2 3. Find t

Mathematics-XI MATHEMATICS 1. If the function f(x) = (x – a) (x – b) + k, a < b, k < 0 has real roots, then (a) both roots lie between a and b (b) only one of the roots lie between a and b (c) one root is smaller than a and other root is greater than b. (d) either both roots are smaller than a or both are greater than b. 2. The number of garlands that can be made out of 12 red identical flowers and 3 blue identical flowers is (a) 91 (b) 21 (c) 19 (d) 14 3. In a triangle, the minimum value of cot2A + cot2B + cot2C is (a) ½ (b) 1 (c) 2 (d) 3 4. In a triangle, the maximum value of sinA + sin B + sin C is (a) 1 (b) 3 (c) 3 3 2 (d) 33 5. In an acute angled triangle, the minimum value of tan A + tan B + tan C is (a) 3 (b) 33 (c) 9 (d) 27 6. The number of ways of distributing 5 Rasgullas, 4 Burfis and 1 Ladoo among 4 Beggars is (a) 3920 (b) 7840 (c) 15680 (d) 840 7. If the roots of the equation ax2 + bx + c = 0 are of form /(–1) and ( + 1)/, then th

Biology-XI 1. Viroids discovered by Diener (1971) are infectious agents and cause diseases in plants only. They differ from viruses in being (1) Naked DNA molecules without protein coat (2) Naked RNA molecule of 250-400 nucleotides without protein coat (3) Naked DNA packaged with viral genome (4) Satellite DNA packaged with viral genome 2. What enables the archaebacteria to tolerate extremes of heat and pH ? (1) The occurrence of polysaccharides and proteins in the cell wall (2) The occurrence of branched chain lipids in the cell membranes (3) The occurrence of mucopeptides in the cell wall (4) The occurrence of mucocomplex in the cell wall. 3. Which one of the following is not correctly matched? (1) Viruses – Interferon (2) Penicillium – Griseofulvin (3) Aspergillus – Aflatoxins (4) Bacteria – Phytoalexins 4. Which statement is correct about fungi ? (1) There is a progressive elaboration of sporophyte from lower to higher fungi (2) There is a progressive complexity in sexuality f

Each question has four alternatives marked (A), (B), (C) and (D), but only one of these alternatives is the correct answer. Find the correct answer. 1. In the following circuit, the current flowing through the resistance of 3, would be Rough Work (A) 2.0 A (B) 1.5 A (C) 1.2 A (D) 1.86 A 2. Match the statements of Column I and Column II and tick-mark() the correct matching, given as one of the four alternatives A, B, C and D. Column I Column II (a) Iris (i) light enters the eye through it (b) Retina (ii) regulates and controls the amount of light entering the eye (c) Cornea (iii) light-sensitive screen of the eye where the image is formed (d) Ciliary muscle (iv) controls the size of the pupil (e) Pupil (v) enables eye to adjust its focal length (A) (a) - ii, (b) - iii, (c) - i, (d) - v, (e) - iv (B) (a) - iv, (b) - iii, (c) - i, (d) - v, (e) - ii (C) (a) - iv, (b) - iii, (c) - ii, (d) - v, (e) - i (D) (a) - ii, (b) - iii, (c) - iv, (d) - v, (e) - i [2] 3.

Each question has four alternatives marked (A), (B), (C) and (D), but only one of these alternatives is the correct answer. Find the correct answer. 1. A train accelerated uniformly from rest until a speed of 72 km/hr was attained. It maintained this speed and passed 35 km mark after 30 minutes from start. The acceleration of the train was Rough Work (A) 0.1 ms–2 (B) 0.2 ms–2 (C) 0.4 ms–2 (D) 0.5 ms–2 2. In the above problem, the distance travelled by the train during the time of acceleration was (A) 1.0 km (B) 1.5 km (C) 2.0 km (D) 3.0 km 3. Cell has many organelles which perform different functions. The golgi apparatus performs functions of and ............., plastids like chloroplast ............., mitochondria ............. and at the surface of ribosome takes place. Fill in the blanks with proper functions given below and tick-mark() the correct filling of the blanks. (1) storage (2) packaging (3) protein synthesis (4) produce energy by oxidation of food (5) ma

Each question has four alternatives marked (A), (B), (C) and (D), but only one of these alternatives is the correct answer. Find the correct answer. 1. Match the statements of Column-I and Column-II and tick-mark () the correct matching, given as one of the four alternatives A, B, C and D. Column-I Column-II (a) Wheat (i) plant fibre (b) Plant fibre (ii) jute (c) Jute (iii) cotton (d) Cotton (iv) wheat (e) Long vegetable fibre (v) rabi crop (f) Bread and biscuits (vi) kharif crop (A) (a) - v, (b) - ii, (c) - i, (d) - vi, (e) - iii, (f) - iv (B) (a) - vi, (b) - v, (c) - i, (d) - iv, (e) - iii, (f) - ii (C) (a) - v, (b) - iii, (c) - i, (d) - vi, (e) - ii, (f) - iv (D) (a) - vi, (b) - iii, (c) - i, (d) - v, (e) - ii, (f) - iv 2. The earth takes nearly 365 days to complete one revolution around the sun. If the orbit of the earth around the sun (supposed to be circular) is 1.5 × 1011m, then the orbital speed of the earth is nearly (A) 465 m/s (B) 30 km/s (C) 3,000 m/s (D) 60 km/s 3