Class 11

05. Quadratic Equations question bank (Maths)

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Q1.

The value of \( a \) for which one root of the quadratic equation
\( (a^2 - 5a + 3)x^2 + (3a - 1)x + 2 = 0 \) is twice as large as the other is

(A)

\( -\dfrac{2}{3} \)

(B)

\( \dfrac{1}{3} \)

(C)

\( -\dfrac{1}{3} \)

(D)

\( \dfrac{2}{3} \)

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Q2.

If \( (1 - p) \) is a root of the quadratic equation \( x^2 + px + (1 - p) = 0 \), then its roots are –

(A)

0, –1

(B)

–1, 1

(C)

0, 1

(D)

–1, 2

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