Question

The ratio in which the line joining points (1,-2,3) and (4,2,-1) is divided by XOY plane is

• A. 1:3
• B. 3:1
• C. -1:3
• D. None of these

Answer 1

The correct option is B

3:1

Let $A(1,-2,3)andB(4,2,-1).$
Let the plane XOY meet the line AB at point C, such that C divided AB in the ratio K:1, then
$C=(\frac{4k+1}{k+1},\frac{2k-2}{k+1},\frac{-k+3}{k+1}).$ since C line on he plnae XOY , z cordinate=0
$\therefore \frac{-k+3}{k+1}=0\Rightarrow K=3$