If (a, 0) is a point on a diameter of the circle , then has
exactly one real root in ( -2, -1]
exactly one real root in [2, 5]
distinct roots greater than 1
distinct roots less than -1
Since is a point on the diameter of the circle ,
so maximum value of is 4
Let
clearly
so graph of will be as shown
Hence (A) is the correct answer.
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