If the roots of the quadratic equation x2−4x−log3⁡a=0 are real, then the least value of a, is

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1/81

1/64

none of these

answer is B.

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Detailed Solution

Since the roots of the given equation are real∴ Discriminant> 0⇒ 16+4log3⁡a≥0⇒log3⁡a≥−4⇒a≥3−4⇒a≥1/81Hence, the least value of a is 1/81.

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