VITEEE PCME Mock Test - 3 - JEE MCQ

  for x ≠ 5 and f is continuous at x = 5 then f(5) =

If (a+ib)(c+id)(e+if)(g+ih) = A+iB, then (a²+b²)(c²+d²)(c²+f²)(g²+h²) =

Let y = | x | + | x − 2 | . Then dy/dx at x = 2 is

The solution of the equation (x-y²x)dx=(y-x²y)dy is

The solution of dy/dx + 1 = e^X+Y is

The order of the differential equation 

Integrating factor of 

Differential of x⁶ w.r. to x³ is equal to

Two functions f : R → R , g : R → R are defined as follows :

If ∫(sin 2x - cos 2x)dx = (1/√2) sin (2x-a) + b

What is the value of the integral  ∫ e^x [ f'x + f x ] dx ?

sin[(1/2)cos^-1(4/5)] is equal to

What is the value of 

The statement "If x is divisible by 8, then it is divisible by 6" is false if x equals

The system of equation
2x + y = 5
x - 3y = -1
3x + 4y = k
is consistent, when k is

If A is a singular matrix then Adj A is

Five digit number divisible by 3 is formed using the digits 0, 1 , 2, 3, 4 and 5 without repetition. Total number of such numbers is

If A and B are two events such that P(A ∪ B)   = 0 .65, P(A ∩ B)   = 0.15 then 

You are given a box with 20 cards in it. 10 of these cards have the letter 1 printed on them. The other ten have the letter T printed on them. If you pick up 3 cards at random and keep them in the same order, the probability of making the word IIT is

If to form a ΔABC it is given that a=5, b=7, sinA=( 3/4 ), then possible triangles are

If the A.M. and G.M, of the roots of a quadratic equation in x are p and q respectively, then its equation is

If v is the variance and σ is the standard deviation, then