Question

The d.r.s of two lines $L_1$ and $L_2$ are $(2,1,-2)$ and $(3,-2,-6)$ . Then the correct matching of list l to list II

LIST - I	LIST - II
i) d.r.s of a line normal to $L_1$ and $L_2$	a)$(-2,\frac{4}{3},4)$
ii) d.r.s of a line bisecting the angle between $L_1$ and $L_2$	b) $(-10,6,-7)$
iii) d.r.s of a line perpendicular to $L_1$	c) $(-5,1,8)$
iv) d.r.s of a line parallel to $L_2$	d) $(1,1,\frac{3}{2})$

• A. $a,b,c,d$
• B. $b,c,d,a$
• C. $c,b,d,a$
• D. $d,c,b,a$

Answer 1

Answer: (B)

$b,c,d,a$

d.r.s of a line normal to $L1$ and $L2$ by solving with the help of lines we get $(-10,6,-7)$

Similarily d.r.s of a line bisecting the angle between $L1$ and $L2$ are $(-5,1,8)$

Thus d.r.s of a line perpendicular to $L1$ is $(1,1,\frac{3}{2})$

d.r.s of a line parallel to $L2$ will be $(-2,\frac{4}{3},4)$