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0 votes
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in Mathematics by (79.8k points)

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

1 Answer

+1 vote
by (76.1k points)
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Best answer

Correct option(3) 82

Explanation:

The graph of the function x2 − 4x + log3

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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