A plane has a point which is at minimum distance from line joining

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A plane

2x + 3y + 5z = 1

has a point

P

which is at minimum distance from line joining

A(1, 0, -3), B(1, -5, 7)

, then distance

AP

is equal to (1)

3\sqrt{5}

(2)

2\sqrt{5}

(3)

4\sqrt{5}

(4) None of these