VITEEE Maths Test - 2 - JEE MCQ

If  then a and b are

The area bounded by the parabola y²=4ax and the straight line y=2ax is

The surface area of a cone including the base is 4π sq.ft., then the dimensions of the cone when the volume is maximum are

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

Which one of the following differential equations represents the system of circles touching y-axis at the origin ?

The solution of is

The order of differential equation (d²y/dx²)³=(1+dy/dx)^1/2 is

Solution of cos x dy/dx+y sin x =1 is

If x^y=e^(x-y), (dy/dx)=

If f, g : R → R, f(x) = (x + 1)² g(x) = x² + 1 then (fog) (-3) =

tan^⁻1(1/5)+tan^⁻1(1/7)+tan^⁻1(1/3)+tan^⁻1(1/8)=

The value of  is

Negation of the conditional , ' if it rains , I shall go to school ' is

If A is a square matrix and I is the unit matrix of the same order 3 x 3 , then A .(adj A)    is

There are five roads from a village to a town. In how many ways can a villager return after reaching the town?

If A and B are such events that P(A)>0 and P(B)≠1, then P(A̅/B̅) is equal to

If B is a non-singular matrix and A is a square matrix, then det (B^-1AB) =

Each coefficients in the equation ax²+bx+c=0 is determined by throwing an ordinary die. The probability that the equation will have equal roots is

A coin tossed until a head appears or until the coin has been tossed 5 times. If a head does not occur on the first two tosses, then the probability that the coin will be tossed 5 times is

If the side of a triangle are 13, 14, 15, then the radius of the incircle is

Sum of all terms of a G.P. is 5 times the sum of odd terms. The common ratio is

If a,b are odd integers, the roots of the equation 2ax²+(2a+b)x+b=0, a≠0 are