Choose the correct answer from the given four options : If the equation 3$x^{2}$ – kx + 2k =0 roots, then the the value(s) of k is (are)

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3$x^{2}$ – kx + 2k = 0 Here, a = 3, b = -k, c = 2k b2 – 4ac = (–k)2 – 4 x 3 x 2k = k2 – 24k $\therefore$ Roots are equal. $\therefore$ b2 – 4ac = 0 $\therefore$ k2 – 24k = 0 $\Rightarrow$ k(k – 24) = 0 Either k = 0 or k - 24 = 0, then k = 24 $\therefore$ k = 0, 24.

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