Find the equation of the sphere whose centre has the position vector and which…

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Find the equation of the sphere whose centre has the position vector

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

and which touches the plane

\mathbf{r} \cdot (2\hat{i} - 2\hat{j} - \hat{k}) = 10