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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
Let f(x)=αx2x+1,x≠−1f(x)=\frac{\alpha x^{2}}{x+1}, x \neq-1. The value of α\alpha for which f(a)=a,(a≠0)f(a)=a,(a \neq 0) is
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Correct option: C
1+1a1+\frac{1}{a}
Option C (8C4⋅3{ }^8 {C}_4 \cdot 3) is correct because it selects 4 people out of 8 and then considers the 3 possible pairings within that group of 4.

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