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Question

If G be the geometric mean of x and y, then 1G2x2+1G2y2=

A
G2
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B
1G2
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C
2G2
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D
3G2
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Solution

The correct option is B 1G2

As given G=xy
1G2x2+1G2y2=1xyx2+1xyy2
=1xy[1x+1y]=1xy=1G2


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