1.

यदि `a(x+y)=b(x-y)=2ab` हो तो `2(x^(2)+y^(2))` का मान क्या होगा?A. `2(a^(2)-b^(2))`B. `2(a^(2)+b^(2))`C. `4(a^(2))-b^(2))`D. `4(a^(2)+b^(2))`

Answer» Correct Answer - D
`a(x+y)=b(x-y)=2ab`
`a(x+y)=2ab`
`x+y=2b`
On squaring both side
`x^(2)+y^(2)+2xy=4b^(2)`………..9i
`b(x-y)=2ab`
`x-y=2a`
On squaring both side
`x^(2)+y^(2)-2xy=4a^(2)`…………….ii
add equation i + ii
`2(x^(2)+y^(2))=4(a^(2)+b^(2))`


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