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Q.

The number of integral values of α for which the equation x-1-2x-3+x+2=α2-2α+1 has atleast one solution, is

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a

5

b

3

c

2

d

1

answer is D.

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Detailed Solution

f(x)=x-1-2x-3+x+2

Question Image

Range of f(x) is [-7,7]

f(x)=α2-2α+1will have a solution if

α2-2α+17 (α-1)27 -7+1α7+1

number of integral values of α is 5 Ans.

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