Question

A straight line joining the points (1,1,1) and (0,0,0) intersects the plane 2x+2y+z=10 at (A) (1, 2, 5) (B) (2, 2, 2) (C) (2, 1, 5) (D) (1, 1, 6)

Answer 1

Ans: (B)
 D.R. of line \((1,1,1)\)
\(\therefore\) let point be \((\mathrm{k}, \mathrm{k}, \mathrm{k})\)
\(\therefore 2 \mathrm{k}+2 \mathrm{k}+\mathrm{k}=10 \Rightarrow 5 \mathrm{k}=10 \Rightarrow \mathrm{k}=2\)
Hence point : \((2,2,2)\)