Mathematics

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) a. 2\sqrt{2} b. 1 c. −1-1 d. −2-\sqrt{2}

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