Q.

Statement 1: For −1

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a

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

b

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation forSTATEMENT-1

c

STATEMENT-1 is True, STATEMENT-2 is False

d

STATEMENT-1 is False, STATEMENT-2 is True

answer is D.

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Detailed Solution

The discriminant of x2+2(a−1)x+a+5=0is 4(a−1)2−4(a+5)=4a2−3a−4<0 hence the integral ∫dxx2+2(a−1)x+a+5=λtan−1⁡g(x)+CSince the denominator is not zero for any value of x so f is acontinuous function.
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