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Question

If the roots of the quadratic equation x24xlog3a=0 are real, then the least possible value of a is 


Your Answer
A
81
Correct Answer
B
181
Your Answer
C
164 
Your Answer
D
9

Solution

The correct option is B 181
x24xlog3a=0
Roots are real, so
D0
16+4log3a0
log3a4
As the base of the log is greater than 1 the inequality will remain same, so
a34
a181

Hence, the least possible value of a is 181.

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