If the roots of the equation x^2+2a x+b=...

If the roots of the equation `x^2+2a x+b=0` are real and distinct and they differ by at most `2m` ,then `b` lies in the interval a.`(a^2,a^2+m^2)` b. `(a^2-m^2, a^2)` c. `[a^2-m^2, a)` d. none of these

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