Let be a point on the –axis such that its distance from the point is units.

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

Let

P

be a point on the

x

–axis such that its distance from the point

Q(4,-3,5)

13

units. (i) Write the equation satisfied by the

x

–coordinate of

P

. (Take

P(x,0,0)

.) (ii) Solve the equation obtained in part (i) to find the possible coordinates of

P

. Express the answers in exact form. (iii) If

P

lies to the right of the origin, state its coordinate and justify the choice of root.