If a variable tangent to the curve \( x^{2} y=c^{3} \) makes \( \ma...

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If a variable tangent to the curve \( x^{2} y=c^{3} \) makes
\( \mathrm{P} \) intercepts \( a, b \) on \( x \) and \( y \) axis respectively, then

W the value of \( a^{2} b \) is
(1) \( 27 c^{3} \)
(2) \( \frac{4}{27} c^{3} \)
(3) \( \frac{27}{4} c^{3} \)
(4) \( \frac{4}{9} c^{3} \)
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