1.

Let \[f(x)=\frac{\alpha {{x}^{2}}}{x+1},x\ne -1.\] The value of \[\alpha \] for which \[f(a)=a,(a\ne 0)\] is

A. \[1-\frac{1}{a}\]
B. \[\frac{1}{a}\]
C. \[1+\frac{1}{a}\]
D. \[\frac{1}{a}-1\]
Answer» D. \[\frac{1}{a}-1\]


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