Mathematics Tes...

The domain of the function 

The number of integral values of ‘a’ for which the system of linear equations x sin θ – 2y cos θ – az = 0, x + 2y + z = 0, –x + y + z = 0 may have non-trivial solutions, then which of the following is incorrect :

then 4S is equal to

If n is a factor of 72, such that xy = n, then number of ordered pairs (x, y) are (where x, y ∈ N) :

Letwhere α ∈ R, suppose Q = [q_ij]_3×3 matrix such that PQ = kl₃ for some non-zero k ∈ R. If q₂₃  

Suppose a population X has 50 observations 51, 52, 53 ... 100 and another population Y has 50 observations 151, 152, 153 ... 200. If V_x and V_y be variances of the sets X and Y respectively such that V_x = λV_y, then λ is equal to

Let A and B be two events such that 

x ∈ [0, 1] and a ∈ [2, 3] then which of the following is correct :

Given f(x) = x ℓn x. Let Δ denotes the area bounded by y = f(x), x = a, x = a³ and x-axis, for 0 < a < 1. Mark the correct statement :