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Q.

The integral values of a for which the quadratic  equation(x – a) (x – 10) + 1 = 0 has integeral roots are

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a

– 1, 3

b

2, 3

c

12, 8

d

– 8, – 12

answer is C.

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Detailed Solution

If x is an integer and(x−a)(x−10)=−1⇒x−10=1 and x−a=−1 or x−10=−1 and x – a = 1⇒x=11 and a=x+1=12 or x=9 and a=x – 1 = 8
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