If the graph of the function x2 − 4x + log3 a does not cut the real

1.	If the graph of the function x2 − 4x + log3 a does not cut the real axis, then the least integral value of 'a' is (1) 80 (2) 81 (3) 82 (4) 0
Answer» Correct option(3) 82 Explanation: The graph of the function x² − 4x + log₃ a does not cut the real axis. ⇒ the roots of x² − 4x + log₃ a = 0 are imaginary. ⇒ log₃ a > 4 ⇒ a > 81 ⇒ the least integral value of a is 82.

If the graph of the function x2 − 4x + log3 a does not cut the real axis, then the least integral value of 'a' is (1) 80 (2) 81 (3) 82 (4) 0

Answer»

Correct option(3) 82

Explanation:

The graph of the function x² − 4x + log₃ a

does not cut the real axis.

⇒ the roots of x² − 4x + log₃ a = 0 are imaginary.

⇒ log₃ a > 4 ⇒ a > 81

⇒ the least integral value of a is 82.

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If the graph of the function x2 − 4x + log3 a does not cut the real axis, then the least integral value of 'a' is (1) 80 (2) 81 (3) 82 (4) 0

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