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Two curves C1: y=x^2-3\ a n d\ C2\ :\ y=...

Two curves `C_1: y=x^2-3\ a n d\ C_2\ :\ y= k x^2\ ,\ k in R` intersect each other at two different points. The tangent drawn to `C_2` at one of the points of intersection `A\ -=` `(a , y_1),(a >0)` meets `C_1` again at `B\ (1, y_2)\ (y_1!=y_2)`. The value of `' a '` is

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