are in c) A B (D) 2 = {4,5,6} by = {(4,4), (5,5), (6,6)} is (C) (B) 0 < (C) 0 = 8, = 5 = 8, = 8 (B) (D) (C) 2 +
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1 1. If are in GP then AP GP are in HP 2. The sum to infinity of the series 1 3. The set B-A a subset of a) A c) A B b) B d)null set 4. The converse of the statement if then I am the president of USA If then I am the president of USA If then I am not the president of USA If I am the president of USA then3 3 6 If then I am not the president of USA 5. The number of elements present in {12312} The relation defined on the set reflexive not transitive 7. If then 8. The range of the function 9. If 0 <1 ℝ 2 >0 0 < ( ) <1 {456} by {(44) (55) (66)} not symmetric identity 0 rational irrational and If 5 ( ) 8 5 then A square root of < 0 rational then <0 < The number of 3 digits can be formed by using the digit 1 to 7 (if repetition) of digits not allowed 1
2 A group consts of 5 girls and 6 boys. The number of ways a team of 4 members be selected with no girl in the team None of these 14. If the coefficient of in If 8 then then the value of 5 equal to If real then the maximum value of The quadratic equation with rational coefficients one of whose root If 5 4 > 0 then lies in ( 1) (4 ) [14] (14) and. Then holds for no real Let the vectors and be such that 3 and then a unit vector if the angle between and 19. Let all real 21. The binary equivalent of If 33 3 are the sides of a triangle then angles of the triangle are equal to 24. The equation sin cos 1 has infinite number of solutions only one solution 25. Domain of ℝ two solutions no solution 2 ℝ Ι
3 ℝ Ι 26. If the matrix product of two (3 3) matrix 0 then it not necessary that either 0 0 all statements are wrong 27. The system of linear equations : has no solution a unique solutions an infinitely many solutions 28. If the value of a third order determinant 7 then the value of the determinant formed by its cofactors The value of the determinant If the value of mode and mean 30 and 33 respectively then the valued of median In a family there are 6 men 4 women and 5 children whose ages separately are respectively and 5 years. Then mean age of the family A room has 3 lamps. From a collection of 8 light bulbs of which 5 are not good any person selects 3 at random and puts them in the socket then the probability that he will have light boys and 5 girls sit in a row randomly. The probability that all 5 girls sit together 34. The points (3 3) (ℎ 0) and (0 ) are collinear if The equation ( 2) ( 2) a parabola a hyperbola a circle 4 represents a pair of lines 36. The circle touches -ax both axes -ax neither -ax nor -ax 37. The value of for which the line 2 0 touches the parabola
4 38. If the latus rectum of the ellipse eccentricity of the ellipse 1 equal to half of its minor ax then the 39. If the line a tangent to the curve contact (2 3) 4. Then the point of The projection of the line segment joining the points (103) and (251) on the line whose direction of ratios are The co-ordinate of the point of intersection of the line (0 1 1) ( ) (2 0 1) with the plane (8 5 1) 42. The perpendicular dtance of the point (123) from the line The shortest dtance of the point (1 2 1) to the surface of the sphere The order of the differential equation The general solution of 46. The solution of If The slope of the normal to the curve 4 then sin(2 3) equal to 4 ln 3 3 equal to 0 sin tan 3 4 sin 4 4 at
5 2 cos(2x 3) 2 cos(2x 3) 50. lim 2 sin(2x 3) 2 sin(2x 3) equal to 51. The function 0 ( ) The derivative of 3 at The interval in which ( ) (20) 55. ln sec tan sec tan 56. Area bounded by the curve ( > 0 > ( ) ) 0 for >0 <0 continuous at Derivative of sin 2 w.r.t. cos 2 2 tan 2 cot if 1 not defined 2 cot 2 tan 2 increasing (2 ) (02) sec tan and the line 1 cos(ln x) equal to 60. If ( ) sin 2 sin cos then sec tan for any value of < 0 < 0 only equal to sec(ln x) sin(ln x) ( ) sin 2 cos sin 5
6 Solution Keys
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