Which of the following is true if the quadratic equation $k x^{2} + 2 x + 1 = 0$ has real and distinct roots?

k > 1

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k < 1

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k = 1

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k = 2

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Solution

The correct option is B k < 1
Given a quadratic equation $a x^{2} + b x + c = 0$ , its discriminant is $b^{2} - 4 a c$ .
If its roots are real and distinct, then $b^{2} - 4 a c > 0$ .
Thus, for the given equation,
$2^{2} - 4 k > 0$
$\Rightarrow k < 1$

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Similar questions

Find the values of k for which the given quadratic equation has real and distinct roots:
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k \geq \frac{- 9}{2}

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k x^{2} + 2 x + 1 = 0

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