CUET (UG) entrance exam Question Bank Solutions

An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The probability that the first unit functions is 0.9 and that of the second unit is 0.8. The instrument is switched on and it fails to operate. If the probability that only the first unit failed and second unit is functioning is p, then 98 p is equal to

The points at which the tangent passes through the origin for the curve y = 4x³ – 2x⁵ are

Evaluate: `int_0^(pi/2) cosx/(( cos  x/2 + sin  x/2)^3) dx`

Value of `|(2, 4),(-1, 2)|` is

`(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`