If $p{\rm{th}},q{\rm{th}}$ and $r{\rm{th}}$ terms of a G.P. are $x,y,z$ respectively, then ${x^{q - r}}{y^{r - p}}{z^{p - q}}$ is equal to

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

p\mathrm{th},q\mathrm{th}

and

r\mathrm{th}

terms of a G.P. are

x,y,z

respectively, then

{x^{q - r}}{y^{r - p}}{z^{p - q}}

is equal to

View answer and explanation

Correct option: B

Option B (1) is correct because the expression simplifies to 1 using the properties of exponents and geometric progressions.

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