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if the roots of the quadratic equation x 2 p 1 x p
Question:
If the roots of the quadratic equation \(x^2-(p+1)x+p=0\) are equal, then \(p\) is:
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Equal roots ⇒ discriminant zero.
VITEEE - 2025
VITEEE
Updated On:
Jan 5, 2026
\(1/4\)
\(-1/4\)
1
\(-1\)
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The Correct Option is
C
Solution and Explanation
Equal roots ⇒ discriminant \(=0\): \[ (p+1)^2-4p=0 \Rightarrow (p-1)^2=0 \Rightarrow p=1 \]
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