The line passing through the points (1,2,-1) and (3,-1,2) meets the yz-plane at which one of the following points?

Step-by-step solution

Eqn. of line x - x ₁ x ₂- x ₁ = y - y ₁ y ₂- y ₁ = z - z ₁ z ₂- z ₁ aligned & i.e, x-1 2 = y-2 -3 = z+1 3 =K( say ) & x-1=2 K ; y-2=-3 K ; z+1=3 K & x=2 K+1 ; y=-3 K+2 ; z=3 K-1 aligned Since the line meets y z plane, x=0 aligned & 2 ~K +1=0 ~K = -1 2 & y =-3 ( -1 2 )+2= 3 2 +2= 7 2 & z =3 ( -1 2 )-1= -3 2 -1= -5 2 aligned