Question

The co-ordinates of the point where the line through $P(3,4,1)$ and $Q(5,1,6)$ crosses the xy-plane are

• A. $\frac{3}{5},\frac{13}{5},\frac{23}{5}$
• B. $\frac{13}{5},\frac{23}{5},\frac{3}{5}$
• C. $\frac{13}{5},\frac{23}{5},0$
• D. $\frac{13}{5},0,0$

Answer 1

Answer: (C)

$\frac{13}{5},\frac{23}{5},0$

Answer 2

Trick: From option (3), the point lies on xy-plane and divides the join of P and Q in – 1 : 6 i.e., 1 : 6 externally.