The value of 'a' for which ax^2 + x + a = 0 has equal and positive roots is:... | MCQ 1m | Maths | SuperPadhai

Quadratic Equations > Question

MCQ1 markYear: 2025MediumCBSE Class 10

quadratic-equationsdiscriminantnature-of-roots

Question

The value of '

a

' for which

a x^{2} + x + a = 0

has equal and positive roots is:

Solution

1

For equal roots:

D = 0 \Rightarrow 1 - 4 a^{2} = 0 \Rightarrow a = \pm \frac{1}{2}

. For positive roots: sum

= - \frac{1}{a} > 0 \Rightarrow a < 0

. So

a = - \frac{1}{2}

.

+1 mark

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