CUET (UG) entrance exam Question Bank Solutions

A ball is thrown upward at a speed of 28 meter per second. What is the speed of ball one second before reaching maximum height? (Given that g= 10 meter per second²)

Range of projectile will be maximum when angle of projectile is

Find the equation of the curve at every point of which the tangent line has a slope of 2x:

The area above the x-axis and under the curve `y = sqrt(1/x - 1)` for `1/2 ≤ x ≤ 1` is:

The function `f(x) = x^3 - 6x^2 + 9x + 25` has

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

`(dy)/(dx)` of `2x + 3y = sin x` is:-

`(dy)/(dx)` of `xy + y^2 = tan x + y` is

Find `(dy)/(dx)`, if `y = sin^-1 ((2x)/(1 + x^2))`

Differentiate w.r.t x (over no. 24 and 25) `e^x/sin x`

y = `e^(x3)`

The point on the curve `x^2 = 2y` which is nearest to the point (0, 5) is

For all real values of `x`, the minimum value of `(1 - x + x^2)/(1 + x + x^2)`

The maximum value of `[x(x - 1) + 1]^(2/3), 0 ≤ x ≤ 1` is

From the differential equation of the family of circles touching the y-axis at origin

Form the differential equation of family of circles having centre on y-axis and raduis 3 units

Form the differential equation of the family of hyperbola having foci on x-axis and centre at origin.