P (0,3,-2) ; Q (3,7,-1) and R (1,-3,-1) are 3 given points. Let L 1 be the line passing through P and Q and L2 be the line through R and parallel to the vector V= hat i + hat k Column I Column II A perpendicular distance of P from L 2 P 7 √3 B shortest distance between L 1 and L 2 Q 2 C area of the triangle PQR R 6 D distance from (0,0,0) to the plane P Q R S (19/√147)

Question

P (0,3,-2) ; Q (3,7,-1) and R (1,-3,-1) are 3 given points. Let L 1 be the line passing through P and Q and L2 be the line through R and parallel to the vector V= hat i + hat k Column I Column II A perpendicular distance of P from L 2 P 7 √3 B shortest distance between L 1 and L 2 Q 2 C area of the triangle PQR R 6 D distance from (0,0,0) to the plane P Q R S (19/√147) (A) (A) R; (B) Q; (C) P ; (D) P (B) (A) R; (B) Q; (C) P ; (D) Q (C) (A) R; (B) Q; (C) P ; (D) R (D) (A) R; (B) Q; (C) P ; (D) S

Tardigrade Admin · Accepted Answer

Correct answer is (d) (A) R; (B) Q; (C) P ; (D) S

Column I		Column II
A	perpendicular distance of $P$ from $L_{2}$	P	$73$
B	shortest distance between $L_{1}$ and $L_{2}$	Q	2
C	area of the triangle $PQR$	R	6
D	distance from $(0, 0, 0)$ to the plane $PQR$	S	$\frac{19}{147}$