JEE Advanced 2020 Concept Recapitulation Test 3 Paper 2

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Question : 40 of 54
 
Marks: +1, -0
Let f(x)=
x
∫
0
[(a−1)(t2+t+1)2−(a+1)(t4+t2+1)]
dt. Then the value of ' a ' for which f′(x)=0 has two distinct real roots are
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