VITEEE Maths Test - 6 - JEE MCQ

If x² + x + 1 is a factor of ax³ + bx² + cx +d,then the real root of ax³ + bx² + cx + d = 0

If f: R → R is defined by f x = x − [ x ] , where [x] is the greatest integer not exceeding x, then the set of discontinuities of f is

The area bounded by the curve y=xsinx and x-axis between x=0 and x=2π is

The value of determinant ∆ of 3rd order is 9 then the value of ∆′² where ∆′ is a determinant formed by cofactors of the element of ∆ is

If the function f is defined by then at what points is f differentiable

Integrating factor of differential equation cos x dy/dx+y sin x = 1 is

The number of solutions of dy/dx = (y+1)/(x-1) when y (1) = 2 is :

The solution of the equation ydx+(1+x²)tan^-1xdy=0 is

(d/dx)[tan^-1((cosx-sinx)/(cosx+sinx))]=

If S is the set of all real x such that 2x - 1/2x³ + 3x² + x is positive, then S contains

The value of ∫ sin⁻¹ (cos x) dx is equal to

∫ x²e^xx=

If cos^-1p + cos^-1q+cos^-1r = π, then p² + q² + r² + 2pqr is equal to

If for [ x ] = 0 where [x] denotes the greatest integer not exceeding x, then

The value of

Which of the following is not a statement in logic ?
1. Earth is planet .
2. Plants are living object .
3. is rational number .
4. x² - 5x + 6 < 0, where x ∈ − R

If A is a square matrix of order 3 x 3 , then adj (adj A) is equal to

If A is singular matrix of order n, then a (adj A) equals,

P,Q,R and S have to deliver lecture, then in how many ways can the lectures be arranged?

When two balls are drawn from a bag containing 2 white, 4 red and 6 black balls, the chance for both of them to be red is

If in ∆ABC ∠A=45⁰, ∠C=60⁰, then a+c√2=

The nth term of the series 3, √3, 1,... is 1/243, then n is

The co-efficient of correlation between two variables x and y is 0.5, their covariance is 16. If the S.D. of x is 4, then the S.D. of y is equal to