Through the point a plane is drawn at right angles to to meet co-ordinate axes at and

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

Problem

Through the point

P(h, k, l)

a plane is drawn at right angles to

OP

to meet co-ordinate axes at

A, B

and

C

. If

OP = p

then the area of the

\triangle ABC

is (1)

\frac{p^5}{2hkl}

(2)

\frac{p^5}{hkl}

(3)

\frac{p^3}{2hkl}

(4)

\frac{p^3}{hkl}