Q.

The equation a2−a−2x2+a2−4x+a2−3a+2=0 will have more than two solutions if a equal to

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a

2

b

3

c

-2

d

Not possible

answer is A.

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Detailed Solution

Given , a2−a−2x2+a2−4x+a2−3a+2=0-----iSince, Eq.(i) have more than two solutions.So, it is an Identity.∴a2−a−2=a2−4=a2−3a+2=0∵ if ax2+bx+c=0 is an identity, then a=b=c=0 a2−a−2=0⇒a=2,-1and a2-4=0⇒a=±2,and a2-3a+2=0⇒a=1,2therefore common value of a=2
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