Show that a focal chord of the parabola which makes an angle with the -axis has length .

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Show that a focal chord of the parabola y2=4axy^2=4ax which makes an angle α\alpha with the xx-axis has length 4acsc⁡2α4a\csc^2\alpha.

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