If $k_{1}, k_{2}, k_{3}$ are real numbers and the equation $k_{1} x^{2} + k_{2} x + k_{3} = 0$ have three roots, then value of $k_{1} + k_{2} + k_{3}$ is

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Solution

The correct option is A
0

$k_{1} x^{2} + k_{2} x + k_{3} = 0$ is a two degree equation if $k_{1} \neq 0$ , then it should have maximum two roots but given question states that it has three roots, that's why the given equation is an identity equation.
Therefore, $k_{1} = 0, k_{2} = 0, k_{3} = 0$ .

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