VITEEE Maths Test - 8 - JEE MCQ

If ω is a complex cube root of unity, then 225 + (3ω+8ω²)²+3ω²+8ω)²=

If is continuous at π/4 , then a =

In determinant radio of the cofactor of -3 and subdeterminant is

Let

 Then  is 

The degree and order of the differential equation of the family of all parabolas whose axis is x-axis are respectively

The order and degree of the differential equation d²y/dx² + (dy/dx)^1/3 + x¹=0 are respectively

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

The differential of sin^-1[(1-x)/(1+x)] w.r.t. √x is equal to

If

for x > 2, then f 11

=

If constant , then f (x)   =

If  then x =

∫[(x²+1)/(x⁴-x²+1)] dx =

The value of is

A function f(x) is defined as , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 because

Negation of "Sohan is in class X or Rani is in class XII" is

If A is a non-singular, then adj A is

If A is a square matrix of order 3, then which of the following is correct.(where I is a unit matrix)

The number of 4-digit even numbers that can be formed using 0, 1, 2, 3, 4, 5, 6 without repetition is

A,B,C in order toss a coin. The first one to throw a head wins. Assuming the game continues indefinitely, their respective chances of winning the game are

Give two independent events A and B such that P(A) = 0.30 and P(B) = 0.60. Prob of getting neither A nor B is

Three letters are written to different persons and addresses on three envelopes are also written. Without looking at the addresses, the probability that the letters go into the right envelope, is

In a triangle ABC, A = 30⁰, b = 8, a = 6, then B = sin^-1 x where x =

The number of terms common to two A.P.'s 3, 7, 11, ..., 407 and 2, 9, 16,...., 709 is

The first of the two samples has 63 items with mean 27.6 and standard deviation 7.1. If the whole group has 89 items with mean 25.1 and standard deviation 7.8, the standard deviation of the second group is