Question

What are the direction ratios of the line if it passes through the intersection of the planes $x=3z+4$ and $y=2z-3$?

• A. $(1,2,3)$
• B. $(2,1,3)$
• C. $(3,2,1)$
• D. $(1,3,2)$

Answer 1

The correct option is C $(3,2,1)$

Equations of the planes are $x=3z+4$ and $y=2z-3$

$\therefore$ The equation of the plane passing through the line of intersection of these planes is

$x=3z+4$ and $y=2z-3$

Thus The direction Ratios of the equation passes through intersection of the planes is $(3,2,1)$