If \frac{1+p x}{1-p x} \sqrt{ \frac{1-q x}{1+q x}} = 1, then what are the non-zero solutions of x ? [2019 CDS-I]

Correct Answer is : ± 1p√2p−qq , 2 p ≠ q

± \frac{1 }{ p } \sqrt{ \frac{2p-q }{q}} , 2 p ≠ q

± \frac{1 }{ pq } \sqrt{ { p-q } } , p ≠ q

± \frac{p }{ q } \sqrt{ { p-q } } , p ≠ q

± \frac{q}{ p } \sqrt{ { 2p-q } } , 2p ≠ q

UPSC CDS Math Basic operation and Factorisation Questions

Question : 11 of 77

Marks: +1, -0

1+px

1−px

√

1−qx

1+qx

= 1, then what are the non-zero solutions of x ?

[2019 CDS-I]

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