CUET (UG) entrance exam Question Bank Solutions for Mathematics

Form the point of intersection (P) of lines given by x₂ – y² – 2x + 2y = 0, points A, B, C, Dare taken on the lines at a distance of `2sqrt(2)` units to form a quadrilateral whose area is A₁ and the area of the quadrilateral formed by joining the circumcentres of ΔPAB, ΔPBC, ΔPCD, ΔPDA is A₂, then `A_1/A_2` equals

On the set N of all natural numbers, define the relation R by a R b, if GCD of a and b is 2. Then, R is

In a group of 52 persons, 16 drink tea but not coffee, while 33 drink tea. How many persons drink coffee but not tea?

The number of surjective functions from A to B where A = {1, 2, 3, 4} and B = {a, b} is

A real value of x satisfies `((3 - 4ix)/(3 + 4ix))` = α – iβ (α, β ∈ R), if α² + β² is equal to

There are 600 student in a school. If 400 of them can speak Telugu, 300 can speak Hindi, then the number of students who can speak both Telugu and Hindi is:

If `f(x) = {{:(-x^2",", "when"  x ≤ 0),(5x - 4",", "when"  0 < x ≤ 1),(4x^2 - 3x",", "when"  1 < x < 2),(3x + 4",", "when"  x ≥ 2):}`, then

Let f(x) = `{{:(5^(1/x), x < 0),(lambda[x], x ≥ 0):}` and λ ∈ R, then at x = 0

A market research group conducted a survey of 2000 consumers and reported that 1720 consumers like product P₁ and 1450 consumers like product P₂. What is the least number that must have liked both the products?

A relation in a set 'A' is known as empty relation:-

A relation 'R' in a set 'A' is called a universal relation, if each element of' A' is related to :-

A relation 'R' in a set 'A' is called reflexive, if

Which of the following is/are example of symmetric

If f(x + 2a) = f(x – 2a), then f(x) is:

Let R = {(a, b): a = a²} for all, a, b ∈ N, then R salifies.

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

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