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Questions  >>  Olympiad-Math  >>  Class 10
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If $\alpha$ and $\beta$ are roots of the quadratic equation $kx^2+4x+4=0$ ,then the value of $k$ such that $\alpha^2+\beta^2=24$ is ______

$(A) \;k=1\;or\;\large\frac{2}{3}\\(B)\;k=-1\;or\;\large\frac{2}{3}\\(C)\;k=1\;or\;\large\frac{-2}{3}\\(D)\;k=-1\;or\;\large\frac{-2}{3} $

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