Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the equation x 2 – (2 + m) x + (m 2 – 4m + 4) = 0 has coincident roots, then-
Text Solution
Verified by ExpertsThe correct answer is:
C
Since roots are coincident, we have
(–(2 + m)) 2 – 4.1. (m 2 – 4m + 4) = 0
4 + m 2 + 4m – 4m 2 + 16m – 16 = 0
⇒ 3m 2 – 20m + 12 = 0 ⇒ m = 2/3, 6.
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