1.

यदि `1/p+1/q=1/(p+q)` तो `p^(3)-q^(3)` का मान क्या है?A. `p-q`B. `p q`C. `1`D. `0`

Answer» Correct Answer - D
`1/p+1/q=1/(p+q)`
`(p+q)/(pq)=1/(p+q)`
`(p+q)^(2)=1/(p+q)`
`(p+q)^(2)=pq`
`p^(2)+q^(2)+2pq-pq=0`
`(p^(2)+q^(2)+pq=0`
Multiply by `(p-q)`
both side
`(p-q)(p^(2)+q^(2)+pq)=(p-q)xx0`
`p^(3)-q^(3)=0`


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