If the roots of (a^2+b^2)x^2 - 2b(a+c)x + (b^2+c^2) = 0... – Algebra

Algebrahard · Past Paper

If the roots of (a^2+b^2)x^2 - 2b(a+c)x + (b^2+c^2) = 0 are equal, then a, b, c are in:

AArithmetic Progression

BGeometric Progression

CHarmonic Progression

DNone of these

✓ Correct Answer: B — Geometric Progression

Condition for equal roots (D=0) simplifies to b^2 = ac, which defines a Geometric Progression.

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