1.

यदि `ax+by=1` और `bx+ay=(2ab)/(a^(2)+b^(2))` हो तो `(x^(2)+y^(2))(a^(2)+b^(2))` किसके बराबर है?A. 1B. 2C. 0.5D. 0

Answer» Correct Answer - A
`ax+by=1`
`bx+ay=(2ab)/(a^(2)+b^(2))`
Let `a=b=1`
then `x+y=1` …………i
`x+y=(2xx1xx1)/(1+1)=1`………..ii
Now put
`x=y=1/2` in eq i and ii
`1/2+1/2=1`
and equation ii
`1/2+1/2=1`
Value of `(x^(2)+y^(2))(a^(2)+b^(2))`
`=(1/2)^(2)+(1/2)^(2)(1+1)`
`=(1/4+1/4)xx2=2/4xx2=1`


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