WBJEE Mathematics Sample Paper II - JEE MCQ

A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5, 6} are two sets, and function f : A → B is defined by f(x) =   then the function f is

 If A is a square matrix such that A² = A, then (I – A)³ + A is equal to

ω is an imaginary cube root of unity and   then one of the values of x is

If    then A^–1 is

. The value of 

If sum of an infinite geometric series is 4/3 and its 1st term is 3/4 , then its common ratio is​

The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is

If    then n is just greater than integer

If in the expansion of (a – 2b)n , the sum of the 5th and 6th term is zero, then the value of a/b is

       will be divisible by 

Sum of the last 30 coeffivients in the expansion of (1 + x)⁵⁹ , when expanded in ascending powers of x is

If (1 – x + x²)ⁿ = a₀ + a₁ x +.....+ a_2n x²ⁿ , then the value of a₀ + a₂ + a₄ + ....... + a_2n is

If α,β be the roots of the quadratic equation x² + x + 1 = 0 then the equation whose roots are α¹⁹ , β⁷ is

The roots of the quadratic equation x²  - 2√3x - 22 = 0 are :

The qudratic equation x2 + 15 |x| + 14 = 0 has

  is complex conjugate of z )

. Two dice are tossed once. The probability of getting an even number at the first die or a total of 8 is

The probability that at least one of A and B occurs is 0.6 . If A and B occur simultaneously with probability 0.3, then P(A') P(B')  is

The value of 

In a right-angled triangle, the sides are a, b and c, with c as hypotenuse, and . Then the value of  will be​

Sum of n terms of the following series 1³ + 3³ + 5³ + 7³ + ........ is

G.. M. and H. M. of two numbers are 10 and 8 respectively. The numbers are :

The value of n for which  is the geometric mean of x and y is

If angles A, B and C are in A.P., then   is equal to

If    then value of 2 sinA + 4 sinB is

The value of