Let be a point in space whose distance from the origin is units.
MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry
Problem
Let R(b,b,2) be a point in space whose distance from the origin is 6 units.
(i) Derive the quadratic equation in b implied by the given information.
(ii) Find all possible coordinates of R by solving the equation obtained.
(iii) Verify directly that each coordinate obtained in part (ii) satisfies the distance condition.