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If the distances of the point (1, 2, a) from the line (x−1)/1 = y/2 = (z−1)/1 along given lines […]

Let y = y(x) be the solution of the differential equation x dy/dx − sin 2y = x³(2 − x³)

The mean and variance of 10 observations are 9 and 34.2 respectively. Find the mean deviation about the median Q.

If α, β are the roots of λx² − (λ + 3)x + 3 = 0 such that 1/α −

The value of Σ (-1)^{k+1} [k(k+1)/k!] is Q. The value of Σ (-1)k+1 [k(k+1)/k!] is (A) e/2 (B) √e (C)

Let z be a complex number such that |z − 6| = 5 and |z + 2 − 6i| =

If tan(A − B)/tan A + sin²C/sin²A = 1, A, B, C ∈ (0, π/2), then Q. If tan(A −

If g(x) = 3x² + 2x − 3, f(0) = −3 and 4g(f(x)) = 3x² − 32x + 72, then

The area of the region R = {(x, y) : xy ≤ 8, 1 ≤ y ≤ x², x ≥

Let �. Let � be the number of 9-digit numbers formed using the digits of the set � such that