Learn and practice General Knowledge questions and answers on Mathematics with very easy and understandable explanations. GK questions are very helpful. JEE Mathematics Syllabus Mathematics JEE Syllabus Sets, relations and functions Complex number and quadratic equations Matrices and determinants Permutations and combinations Mathematical induction Binomial theorem and its simple applications Sequences and series Limit, continuity […]
91. Which of the following represents coinitial vector? A. c, d B. m, b C. b, d D. b, d Answer Option : D 92. The vectors 3i^+5j^+2k^,2i^−3j^−5k^ and 5i^+2j^−3k^ form the sides of A. Isosceles triangle B. Right triangle C. Scalene triangle D. Equilaterala triangle Answer Option : D 93. The vectors a=xi^−2j^+5k^ and
81. The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vector is A. √3 B. 1 – √3 C. 1 + √3 D. -√3 Answer Option : A 82. The vectors λi^+j^+2k^,i^+λj^−k^ and 2i^−j^+λk^ are coplanar if A. λ = -2 B. λ =
71. The tangent to the curve y = 2×2 -x + 1 is parallel to the line y = 3x + 9 at the point A. (2, 3) B. (2, -1) C. (2, 1) D. (1, 2) Answer Option : D 72. The tangent to the curve y = x2 + 3x will pass through
61. Find the maximum profit that a company can make, if the profit function is given by P(x) = 41 + 24x – 18×2. A. 25 B. 43 C. 62 D. 49 Answer Option : D 62. If y = x3 + x2 + x + 1, then y A. has a local minimum B.
51. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x. A. 2 B. 3 C. 4 D. 5 Answer Option : D 52. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6). A. y = 2x B. x = 3y
31. If the order of the matrix is m×n, then how many elements will there be in the matrix? A. mn B. 2mn C. mn2 D. m2 n2 Answer Option : A 32. Which of the following is not a type of matrix? A. Scalar matrix B. Minor matrix C. Diagonal matrix D. Symmetric matrix
41. Let * be a binary operation on Q, defined by a * b = 3ab5 is A. Commutative B. Associative C. Both (a) and (b) D. None of these Answer Option : C 42. Let * be a binary operation on set Q of rational numbers defined as a * b = ab5. Write
21. What is the value of sin-1(-x) for all x belongs to [-1, 1]? A. sin-1(-x)/2 B. -sin-1(x) C. sin-1(x) D. 2sin-1(x) Answer Option : B 22. What is the value of cos-1(-x) for all x belongs to [-1, 1]? A. cos-1(-x) B. π – cos-1(x) C. π – cos-1(-x) D. π + cos-1(x) Answer
11. A function f:R→R defined by f(x)=5×4+2 is one – one but not onto. A. True B. False Answer Option : B 12. Let A={1,2,3} and B={4,5,6}. Which one of the following functions is bijective? A. f={(1,4),(2,5),(3,6)} B. f={(1,4),(1,5),(1,6)} C. f={(1,5),(2,4),(3,4)} D. f={(2,4),(2,5),(2,6)} Answer Option : A 13. Let M={5,6,7,8} and N={3,4,9,10}. Which one of
01. Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}? A. R = {(4, 4), (5, 5)} B. R = {(4, 5), (5, 4)} C. R = {(4, 5), (5, 4), (4, 4)} D. R = {(4, 4), (5, 4), (5, 5)} Answer Option :
