Parabola

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Question

The length of focal chord to the parabola $y^{2} = 12 x$ drawn from the point (3, 6) on it is________.

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Solution

a = 3 Comparing point (3, 6) with $(3 t^{2}, 6 t)$ ,
we have t = 1.Then Length of chord $a {(t + \frac{1}{t})}^{2} = 3 (1 + 1)^{2} = 12$ .

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