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Question

If x=2+121,y=212+1, then x2+xy+y2 is equal to?

A
39
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B
35
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C
38
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D
36
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Solution

The correct option is B 35
Letf(x)=x2+xy+y2=(x+y)2xy(1)Nowx+y=2+121+212+1=2+1+22+2+12221=6(x+y)2=36.Againxy=2+121×212+1=1Substitutingfor(x+y)2andxyinf(x)wehavef(x)=361=35

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