If $a \leq 0$ then roots of $x^2-2 a|x-a|-3 a^2=0$ is

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

a \leq 0

then roots of

x^2-2 a|x-a|-3 a^2=0

View answer and explanation

Correct option: A

(-1+\sqrt{6}) \mathrm{a}

Option A ((-1+

\sqrt{6}

)a) is correct because it is one of the roots obtained by considering the case where x <= a and solving the quadratic equation.

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