CUET (UG) entrance exam Question Bank Solutions

`vecr = 2hati - 5hatj + hatk + lambda(3hati + 2hatj + 6hatk)` and `vecr = 2hati - 5hatj + hatk + lambda(3hati + 2hatj + 6hatk)`

`vecr = 3hati + hatj + 2hatk + l(hati - hatj + 2hatk)` and `vecr = 2hati + hatj + 56hatk + m(3hati - 5hatj + 4hatk)`

The comer point of the feasible region determined by the following system of linear inequalities:

2x + y ≤ 10, x + 3y ≤ 15, x, y ≥ 0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let x = Px + qx where P, q > 0 condition on P and Q so that the maximum of z occurs at both (3, 4) and (0, 5) is

Minimise z = – 3x + 4y subject to x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0 What will be the minimum value of z ?

Any point in the feasible region that gives the optional value (maximum or minimum) of the objective function is called:-

Let P be any non-empty set containing p elements. Then, what is the number of relations on P?

The general solution of the differential equation `(dy)/(dx) + x/y` = 0 is

If the ratio of the H.M. and GM. between two numbers a and bis 4 : 5, then a: b is

A system of linear equations represented in matrix form Ax = 0, A is n × n matrix, has a non-zero solution if the determinant of A (i.e., det(A)) is

In a third order matrix B, b_ij denotes the element in the i^th row and j^th column. If

b_ij = 0 for i = j

= 1 for > j

= – 1 for i < j

Then the matrix is

`f : {1, 2, 3) -> {4, 5}` is not a function, if it is defined by which of the following?

Which of the statements describe the solution set for `-2(x + 8) = - 2x + 20`?

`root(3)(4663) + 349` = ? ÷ 21.003

`[(5sqrt(7) + sqrt(7)) + (4sqrt(7) + 8sqrt(7))] - (19)^2` = ?

The A.M., H.M. and G.M. between two numbers are `144/15`, 15 and 12, but not necessarily in this order then, H.M., G.M. and A.M. respectively are

If n is any integer, then the general solution of the equation `cos x - sin x = 1/sqrt(2)` is

A number consists of two digits and the digit in the ten's place exceeds that in the unit's place by 5. If 5 times the sum of the digits be subtracted from the number, the digits of the number are reversed. Then the sum of digits of the number is:

General solution of tan 5θ = cot 2θ is

Solution of the equation 3 tan(θ – 15) = tan(θ + 15) is

A matrix is said to be a column matrix if it has