Given $z = \frac{{q + ir}}{{1 + p}},\;{\rm{then}}\;\frac{{p + iq}}{{1 + r}} = \frac{{1 + iz}}{{1 - iz}}$ if

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Given

z = \frac{{q + ir}}{{1 + p}},\;\mathrm{then}\;\frac{{p + iq}}{{1 + r}} = \frac{{1 + iz}}{{1 - iz}}

View answer and explanation

Correct option: A

{p^2} + {q^2} + {r^2} = 1

Option A (

{p^2} + {q^2} + {r^2} = 1

) is correct because it is the condition derived from the given equation using componendo and dividendo.

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