Match the statements of Column I with values of Column II

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

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

Column I	Column II
(A) The area of the triangle whose vertices are $(0, 0, 0)$ , $(3, 4, 7)$ and $(5, 2, 6)$ is	(p) 0
(B) The smallest radius of the sphere passing through $(1, 0, 0)$ , $(0, 1, 0)$ and $(0, 0, 1)$ is	(q) $\frac{70}{3}$
(C) The value(s) of $\lambda$ for which the triangle with vertices $A(6, 10, 10)$ , $B(1, 0, -5)$ and $C(6, -10, \lambda)$ will be a right angled triangle (right angled at $A$ ) is/are	(r) $\sqrt{\frac{2}{3}}$
(D) $d$ is the perpendicular distance from $(1, 3, 4)$ to $\frac{x-1}{-1} = \frac{y-1}{1} = \frac{z}{1}$ , then value of $\frac{d}{2\sqrt{3}}$	(s) $\frac{3}{2}\sqrt{65}$