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If (1)/(a)+(1)/(b)=(1)/(c)+(1)/(d), expr...

If `(1)/(a)+(1)/(b)=(1)/(c)+(1)/(d)`, express a in terms of b,c and d.

A

`a=(bcd)/(bc+cd-bd)`

B

`a=(bcd)/(cd+bd-bc)`

C

`a=(bcd)/(bd+bc+cd)`

D

`a=(bcd)/(bd+bc-cd)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(1)/(a)+(1)/(b)=(1)/(c)+(1)/(d)`
`implies(1)/(a)+(1)/(c)+(1)/(d)-(1)/(b)`
`implies(1)/(a)=(bd+bc-cd)/(bcd)`
`thereforea=(bcd)/(bd+bc-cd)`
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PEARSON IIT JEE FOUNDATION-Formulae-Level 2
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