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Question

If x24x+log12a=0 does not have two distinct real roots, then maximum value of a is

A
14
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B
116
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C
14
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D
none of these
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Solution

The correct option is B 116
x24x+log12a=0
164log12a0
4log12a
log12alog12(12)4
a116 and a0
a(0,116]
Maximum value of a=116

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