Let a binary operation ‘*’ be defined on a set A. The operation will be commutative if ________
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tan^{−1}√3+sec^{−1}2–cos−^{1}1 is equal to ________
Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}.
If f : R→R, g(x) = 3 x 2 + 7 and f(x) = √x, then gοf(x) is equal to _______
Let I be a set of all lines in a XY plane and R be a relation in I defined as R = {(I_{1}, I_{2}):I_{1} is parallel to I_{2}}. What is the type of given relation?
If f : R → R is given by f(x) = (5 + x^{4})^{1/4}, then fοf(x) is _______
Let ‘*’ be a binary operation on N defined by a * b =a  b + ab^{2}, then find 4 * 5.
[1, 1] is the domain for which of the following inverse trigonometric functions?
Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M.
Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation?
If f: N→N, g: N→N and h: N→R is defined f(x) = 3x  5, g(y) = 6y2 and h(z) = tanz, find ho(gof).
Let ‘*’ be defined on the set N. Which of the following are both commutative and associative?
Let ‘*’ be a binary operation defined by a * b = 4ab. Find (a * b) * a.
(a,a) ∈ R, for every a ∈ A. This condition is for which of the following relations?
Let ‘*’ be a binary operation defined by a * b = 3a^{b} + 5. Find 8 * 3.
Which of the following is not a type of binary operation?
Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}?
Which of the following condition is incorrect for matrix multiplication?
Which of the following is not the property of transpose of a matrix?
Which of the following is the reversal law of transposes?
Which of the following conditions holds true for a skewsymmetric matrix?
If A = , then which of the following statement is incorrect?
Which of the following conditions holds true for a symmetric matrix?
How many elementary operations are possible on Matrices?
Which of the following matrices will remain same if the elementary operation R_{1} → 2R_{1} + 3R_{2} is applied on the matrix?
Which of the following is not a valid elementary operation?
Which of the following column operation is incorrect for the matrix A = ?
Which of the following relations is transitive but not reflexive for the set S = {3, 4, 6}?
Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}?
Which of the following is not a property of invertible matrices if A and B are matrices of the same order?
8 docs148 tests

8 docs148 tests
