1.

यदि `x=(4ab)/(a+b)a!=b` है तो `(x+2a)/(x-2a)+(x+2b)/(x-2b)` का मान ज्ञात करें?A. aB. bC. 2abD. 2

Answer» Correct Answer - D
`x=(4ab)/(a+b)`
`implies x/(2a)=(2b)/(a+b)`
`(x+2a)/(x-2a)=(2b+a+b)/(2b-a-b)=(3b+a)/(b-a)`
(By C-D rule)
`implies` again
`x/(2b)=(2a)/(a+b)`
`(x+2b)(x-2b)=(2a+a+b)/(2a-a-b)=(3a+b)/(a-b)`
`implies (x+2a)/(x-2a)+(x+2b)/(x-2b)=(3b+a)/(b-a)+(3a+b)/(a-b)`
`implies (3b+a-3a-b)/(b-a)`
`(2b-2a)/(b-a)=(2(b-a))/((b-a))=2`


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