First slide

Parabola

Question

$The area of triangle formed by tangents and the chord of contact from (3, 4) to y^{2} = 2 x is$

Moderate

A

$10 \sqrt{10}$
B

$2 \sqrt{10}$
C

$\frac{10 \sqrt{10}}{3}$
D

$\frac{5 \sqrt{10}}{3}$

Solution

$Area of the required triangle = \frac{{(S_{11})}^{3 / 2}}{2 a} = 10 \sqrt{10}$

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