# NMTC 2002 Kaprekar Contest

Let $$a*b\space =\space a+b+ab$$. For example,

$$6*2\space =\space 6+2+(6\times2)\space =\space 20$$

If $$a*x\space =\space 0$$, then $$x$$ is

(A) $$\dfrac{a}{a+1}$$

(B) $$\dfrac{a}{a-1}$$

(C) $$\dfrac{-a}{a-1}$$

(D) $$\dfrac{-a}{a+1}$$

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