Multiple choice

$ABC$ is an isosceles triangle inscribed in a circle of radius r. If $AB=AC & \ h $ is the altitude from A to BC and P be the perimeter of ABC, then $\lim_{ h\rightarrow 0 }{ \dfrac { \Delta }{ { P }^{ 3 } } }$ equals (where $\Delta$ is the area of traingle)

  1. $\frac { 1 }{ 32 r^3} $
  2. $\frac { 1 }{ 64 r^3} $
  3. $\frac { 1 }{ 128 r^3} $
  4. None of these

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C Correct answer