Q.11377·Miscellaneous·2014·EasyEliminating the arbitrary constants B and C in the expression y = (2/3C)(Cx – 1)^(3/2) + B, we getView question
Q.11378·Miscellaneous·2014·EasyLet f(x) = ax² + bx + c such that f(1) = f(-1) and a, b, c are in Arithmetic Progression. What is the value of b ?View question
Q.11379·Miscellaneous·2014·EasyIf |a + b| = |a – b|, then which one of the following is correct ?View question
Q.11380·Miscellaneous·2014·EasyWhat is the area of the triangle OAB where O is the origin, OA = 3i – j + k and OB = 2i + j – 3k ?View question
Q.11381·Miscellaneous·2014·EasyWhich one of the following is the unit vector perpendicular to both a = -i + j + k and b = i – j + k ?View question
Q.11382·Miscellaneous·2014·Easya + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is the angle between a and b ?View question
Q.11383·Miscellaneous·2014·Easya + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is cosine of the angle between b and c ?View question
Q.11384·Miscellaneous·2014·Easya + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is |a + b| equal to ?View question
Q.11385·Miscellaneous·2014·EasyA cylinder is inscribed in a sphere of radius r. What is the height of the cylinder of maximum volume ?View question
Q.11386·Miscellaneous·2014·EasyA cylinder is inscribed in a sphere of radius r. What is the radius of the cylinder of maximum volume ?View question
Q.11387·Miscellaneous·2014·EasyConsider the function f''(x) = sec^4 x + 4 with f(0) = 0 and f'(0) = 0. What is f'(x) equal to ?View question
Q.11388·Miscellaneous·2014·EasyConsider the function f''(x) = sec^4 x + 4 with f(0) = 0 and f'(0) = 0. What is f(x) equal to ?View question
Q.11389·Miscellaneous·2014·EasySuppose A and B are two events. Event B has occurred and it is known that P(B) < 1. What is P(A | B') equal to ?View question
Q.11390·Miscellaneous·2014·EasyConsider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. A, B and D areView question
Q.11391·Miscellaneous·2014·EasyConsider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. A, B and C areView question
Q.11392·Miscellaneous·2014·EasyConsider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. B and C areView question
Q.11393·Miscellaneous·2014·EasyConsider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. C and E areView question
Q.11394·Miscellaneous·2014·EasyConsider the following statements in respect of histogram : 1.The histogram is a suitable representation of a frequency distribution of a continuous variable. 2.The area included under the whole histogram is the total frequency. Which of the above statements is/are correct ?View question