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Question

If A.M of the roots of x22ax+b2=0 is equal to the of the roots of the equation x22bx+a2=0. They are in :

A
A.M
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B
G.M
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C
H.M
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D
None
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Solution

The correct option is B G.M
x22ax+b2=0x=+2a±4a24b22x=2a±2a2b22x=a±a2b2A.M=a+a2b2+aa2b22=2a2=a
x22bx+a2=0x=+2b±4b24a22x=2b±2b2a22x=b±b2a2A.M=b.G.M=b.G.M=(b+b2a2)(bb2a2)=b2(b2a2)=b2b2+a2=a2=a

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