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Question

The roots of the equation a2x2+(a+b)x−b2=0 are

A
real and different
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B
real and equal
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C
imaginary
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D
none of these
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Solution

The correct option is A real and different
a2x2+(a+b)xb2=0
Discriminant of this quadratic equation is,
D=(a+b)2+4a2b2
D=(a+b)2+(2ab)2>0a,bR
So, roots are real and different.

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