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Question

A quadratic equation whose roots are a(a)±(ab), is

A
bx22aax+a2=0.
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B
bx2+2aax+a2=0.
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C
bx2+2aaxa2=0.
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D
bx22aaxa2=0.
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Solution

The correct option is A bx22aax+a2=0.
Given, a quadratic equation whose roots are a(a)±(ab)

On rationalizing, the roots are ab[a±ab]

Sum of roots =S=2aab, and Product of roots =P=a2b

Equation becomes,

x2Sx+p=0

x22aabx+a2b=0

bx22aax+a2=0.

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