First slide

Parabola

Question

$A B is a chord of the parabola y^{2} = 4 a x with vertex A \cdot B C is drawn perpendicular to A B meeting the axis at C . The$
$projection of B C on the axis of the parabola is$

Moderate

A

$a$
B

$2 a$
C

$4 a$
D

$8 a$

Solution

$\begin{array}{l} \tan θ = \frac{y}{x} \\ The projection of B C on the x -axis, \end{array}$
$L C = \frac{y}{\tan (90^{\circ} - θ)} = y \tan θ = \frac{y^{2}}{x} = 4 a$

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