• # question_answer Distance of the point $P\,(2,\,\,-3,\,\,4)$ from plane $\bar{r}.(\hat{i}+\hat{j}+\hat{k})=5$ measured parallel to x-axis, is A) 1 B) $\sqrt{2}$ C) 2 D)  4

 Equation of a line parallel to x-axis and passes through $P\,(2,\,\,-3,\,\,4)$ $\frac{x-2}{1}=\frac{y+3}{0}=\frac{z-4}{0}=\lambda$ Point on it $\,(\lambda +2,\,\,-3,\,\,4)$ it will satisfy plane Point on plane $Q\,(+\,\,4,\,\,-3,\,\,4)$ hence dis $PQ=2$