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Q.

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots are

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a

3

b

0

c

1

d

2

answer is D.

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Detailed Solution

(x+a)(x+1991)+1=0 or (x+a)(x+1991)=−1⇒ (x+a)=1 and x+1991=−1⇒ a=1993 or x+a=−1 and x+1991=1⇒a=1989

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