Let α and β be the roots of the equation \frac{1}{x + a + b} = \frac{1}{x} + \frac{1}{a} + \frac{1}{b}; a ≠ 0, b ≠ 0, x ≠ 0. Which one of the following is a quadratic equation whose roots are α 2 and β 2 ?

Correct Answer is : x2 - (a2 + b2)x + a2b2 = 0

UPSC CDS 2 2023 Math Paper

Question : 76 of 100

Marks: +1, -0

Let α and β be the roots of the equation ‌

x‌+‌a‌+‌b

=‌

+‌

; a ≠ 0, b ≠ 0, x ≠ 0.
Which one of the following is a quadratic equation whose roots are α²and β²?

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