CUET (UG) entrance exam Question Bank Solutions for Mathematics

`(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)`

Let `y = f(x)` be the equation of the curve, then equation of normal is

Which of the following represent the slope of normal?

Find the points on the curve `y = x^3` at which the slope of the tangent is equal to the y-coordinate of the point

The Slope of the normal to the curve `y = 2x^2 + 3 sin x` at `x` = 0 is

The line is y = x + 1 is a tangent to the curve y² = 4x at the point.

The slope of the tangentto the curve `x= t^2 + 3t - 8, y = 2t^2 - 2t - 5` at the point `(2, -1)` is

The normal at the point (1, 1) on the curve `2y + x^2` = 3 is

The member of arbitrary constants in the particulars solution of a differential equation of third order as

Which of the following differential equations has `y = x` as one of its particular solution?

Find a particular solution satisfying the given condition `- cos((dy)/(dx)) = a, (a ∈ R), y` = 1 when `x` = 0

Find a particular solution, satisfying the condition `(dy)/(dx) = y tan x ; y = 1` when `x = 0`

`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 ?