Match the statements of Column I with values of Column II

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Match the statements of Column I with values of Column II.

Column I	Column II
(A) If the line $\frac{x-1}{1} = \frac{y+1}{-2} = \frac{z+1}{\lambda}$ lies in the plane $3x - 2y + 5z = 0$ , then $\lambda$ is equal to	(p) $\sin^{-1} \sqrt{\frac{6}{25}}$
(B) If $(3, \lambda, \mu)$ is a point on the line $2x + y + z - 3 = 0 = x - 2y + z - 1$ , then $\lambda + \mu$ is equal to	(q) $-\frac{7}{5}$
(C) The angle between the line $x = y = z$ and the plane $4x - 3y + 5z = 2$ is	(r) $-3$
(D) The angle between the planes $x + y + z = 0$ and $3x - 4y + 5z = 0$	(s) $\cos^{-1} \sqrt{\frac{8}{75}}$