(B) For the parabola $y^2 = 4ax$,where $a = 1$,and the external point $(x_1, y_1) = (-2, -1)$.The length of the chord of contact is given by the formu

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(B) For the parabola $y^2 = 4ax$,where $a = 1$,and the external point $(x_1, y_1) = (-2, -1)$.The length of the chord of contact is given by the formula $L = \frac{1}{a} \sqrt{(y_1^2 - 4ax_1)(y_1^2 + 4a^2)}$.Substituting the values: $L = \frac{1}{1} \sqrt{((-1)^2 - 4(1)(-2))((-1)^2 + 4(1)^2)}$.$L = \sqrt{(1 + 8)(1 + 4)} = \sqrt{9 \times 5} = 3\sqrt{5}$.

Class 11 Mathematics 10-2. Parabola, Ellipse, Hyperbola Parabola

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What is the length of the chord of contact of the tangents drawn from the point $(-2, -1)$ to the parabola $y^2 = 4x$?

A
$2\sqrt{2}$
B
$3\sqrt{5}$
C
$8$
D
None of these

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10-2. Parabola, Ellipse, Hyperbola

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Parabola

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What is the length of the chord of contact of the tangents drawn from the point $(-2, -1)$ to the parabola $y^2 = 4x$?

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