Question:medium
If the roots of the equation \( (x-a)(x-b) + (x-b)(x-c) + (x-c)(x-a) = 0 \) are equal, then \( a^2 + b^2 + c^2 = \)
If the roots of the equation \( (x-a)(x-b) + (x-b)(x-c) + (x-c)(x-a) = 0 \) are equal, then \( a^2 + b^2 + c^2 = \)
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Equal roots ⇒ discriminant zero. Always expand fully before applying condition.
Updated On: May 8, 2026
- \( a+b+c \)
- \( 2a+b+c \)
- \( 3abc \)
- \( ab+bc+ca \)
- \( abc \)
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The Correct Option is D
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