CUET (UG) entrance exam Question Bank Solutions for Mathematics

If the area of triangle is 35 square units with vertices (2, – 6), (5, 4) and (k, 4) then k is

If Δ = `|(1, 2, 3),(2, -1, 0),(3, 4, 5)|`, then `|(1, 6, 3),(4, -6, 0),(3, 12, 5)|` is

Let y = `f(x)` be the equation of a curve. Then the equation of tangent at (x_o, y_o) is :- 

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

In a bank principal increases at the rate of r% per year find the value of r of Rs.100 double itself in 10 years `(log e^2 = 0.6931)`

In a bank, principal increases at the rate of 5% per year. An amount of Rs.1000 is deposited with this bank, how much will it worth after 10 years `(e^(0.5) = 1.648)`

Find the vector component of the vector with initial point (2, 1) and terminal point (–5, 7).

The equation of the circle passing through the foci of the ellipse `x^2/16 + y^2/9` = 1 and having centre at (0, 3) is

The domain of the function defined by f(x) = log_x 10 is

Which of the following graph represents the extreme value:-

If θ f(x) = `int_0^x t sin t  dt` then `f^1(x)` is

Find the equations of the planes that passes through three points (1, 1, – 1), (6, 4, – 5),(– 4, – 2, 3)

The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is:-

Suppose that two cards are drawn at random x from a deck of cards. Let x be the number of aces obtained. Then value of E(x) is

Which of the following is a homogeneous differential equation?

The equation ax + by + c = 0 represents a straight line

The set of all real numbers x for which `x^2 - |x + 2| + x > 0` holds is

Determine k so that the equation 4x² + kx + 1 = 0 will have just one real solution?