A chord is a normal to a parabola and is inclined at an angle \( \t...

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A chord is a normal to a parabola and is inclined at an angle \( \theta \) to the axis; prove that the area of the
\( \mathrm{P} \) triangle formed by it and the tangents at its extremities is \( 4 a^{2} \sec ^{3} \theta \operatorname{cosec}^{3} \theta \)

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