From a point

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

From a point

P(\lambda, \lambda, \lambda)

, perpendiculars

PQ

and

PR

are drawn respectively on the lines

y = x, z = 1

and

y = -x, z = -1

. If

P

is such that

\angle QPR

is a right angle, then the possible value(s) of

\lambda

is (are) (1)

\sqrt{2}

(2) 1 (3)

-1

(4)

-\sqrt{2}