The number of real values of the parameter k for which ( _ 16 x)^2 - _ 16 x + _ 16 k = 0 with real coefficients will have exactly one solution is

JEE Advanced Mathematics question

The number of real values of the parameter for which with real coefficients will have exactly one solution is

Answer: (B)

"Real coefficients" requires real, i.e. . Put ; each real gives exactly one , so the number of solutions equals the number of distinct real roots of

- t + k = 0, t = {1±{1-4_

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Question ID VK-108656