VITEEE Maths Test - 4 - JEE MCQ

If then

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

If z² + z + 1 = 0, where z is a complex number then the value of

If  is continuous at π/4 , then a =

The solution of the differential equation cos(x + y)dy = dx is

The solution of differential equation (dy/dx)=[(x(2logx+1))/(siny+ycosy)] is

The roots of the equation  are

The degree of the differential equation

The differential equation which represents the family of plane curves y=exp. (cx) is

If x=a[(cost)+(log tan(t/2))], y=a sint, (dy/dx)=

The range of the function f(x) = x² - x/x² + 2x is

If where n > 1 , then I_n − I_{n − 2}

sec²(tan^-1 2) + cosec²(cot^-1 3) =

Let
What is the value of 

The value of 

Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?

If A is a singular matrix, then A adj (A)

If A and B both are of order 2 x 3 , which one of these is not defined ?

Twelve students compete for a race. The number of ways in which first three prizes can be taken is

An unbaised die with faces marked 1,2,3,4,5 and 6 is rolled four times. Out of four face value obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5, is

A committee of 5 is to be chosen from a group of 9 people. What is the probability that a certain married couple serve together or not at all ?

Two dice are thrown simultaneously. The probability of obtaining a total score of seven is

In a triangle   , then b =

If the sum of n terms of the series 2³ + 4³ + 6³ + ... ∞ is 3528, then n equals

The Quartile Deviation of the daily wages (in Rs) of 7 persons given below :
12, 7, 15, 10, 17, 19, 25 is