The co-ordinates of the vertices $A$ and $B$ of an isosceles triangle $ABC (AC = BC)$ are $(-2,3)$ and $(2,0)$ respectively. $A$ line parallel to $AB$ and having a $y$ -intercept equal  to $\frac{43}{12}$ passes through $C$, then the co-ordinates of $C$ are :-

  • A

    $\left( { - \frac{3}{4},1} \right)$

  • B

    $\left( {1,\frac{{17}}{6}} \right)$

  • C

    $\left( {\frac{2}{3},\frac{4}{5}} \right)$

  • D

    $(1, 0)$

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