JEE Advanced 2014 Paper 1 Mathematics Q7

Mathematics

Problem

From a point P(λ,λ,λ)P(\lambda,\lambda,\lambda), perpendiculars PQPQ and PRPR are drawn respectively on the lines y=x,z=1y=x, z=1 and y=−x,z=−1y=-x, z=-1. If PP is such that ∠QPR\angle QPR is a right angle, then the possible value(s) of λ\lambda is(are)

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