Find the equation of sphere if it touches the plane and the position vector of its…

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

Find the equation of sphere if it touches the plane

\mathbf{r} \cdot (2\hat{i} - 2\hat{j} - \hat{k}) = 0

and the position vector of its centre is

3\hat{i} + 6\hat{j} - 4\hat{k}