CUET (UG) entrance exam Question Bank Solutions for Mathematics

Two matrices A = [a_ÿ] and B = [b_ÿ] are said to be equal if.

What is the value of a, b, c and 'd' from the following equation?

`[(2a + b, a - 2b),(5c - d, 4c + 3d)] = [(4, -3),(11, 24)]`

If A = `[(cos a, - sin a),(sin a, cos a)]`, then A+ A¹ = l, if the value of a is:

Choose the correct answer in the following questions

If A = `[(alpha, beta),(y, - a)]` is such that A² = I, then

Evaluate `|(x, x + 1),(x - 1, x)|`

Find the value of 'x' for which `|(3, x),(x, 1)| = |(3, 2),(4, 1)|`

If `|(x, 2),(18, x)| = |(6, 2),(18, 6)|`, then 'x' is equal to

There are two number 'x' making the value of the `|(1, -2, 5),(2, x, -1),(0, 4, 2x)|` equals to 86. The sum of there two number, is:

The function f(x) = 5x – 3 is continuous at x =

The function f(x) = x² – sin x + 5 is continuous at x =

What is the values of' 'k' so that the function 'f' is continuous at the indicated point

For what value of `k` the following function is continuous at the indicated point

`f(x) = {{:(kx^2",", if x ≤ 2),(3",", if x > 2):}` at x = 2

For what value of `k` the following function is continuous at the indicated point

`f(x) = {{:(kx + 1",", if x ≤ pi),(cos x",", if x > pi):}` at = `pi`

Find the values of `a` and ` b` such that the function by:

`f(x) = {{:(5",", if  x ≤ 2),(ax + b",", if 2 < x < 10),(21",", if x ≥ 10):}`

is a continuous function.

Which of the following graph represent the strictly increasing function.

Let x₀ be a point in the domain of definition of a real valued function `f` and there exists an open interval I = (x₀ –  h, ro + h) containing x₀. Then which of the following statement is/ are true for the above statement.

Function given by f(x) = sin x is strictly increasing in.

Find the interval in which the function `f` is given by `f(x) = 2x^2 - 3x` is strictly decreasing.

The interval in which `y = x^2e^(-x)` is increasing with respect to `x` is

The degree of differential equation `((d^2y)/(dx^2))^3 + ((dy)/(dx))^2 + sin((dy)/(dx)) + 1` = 0 is: