AB is a chord of the parabola y2=4ax with vertex A⋅BC is drawn perpendicular to AB meeting the axis at C . The projection of BC on the axis of the parabola is
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a
a
b
2a
c
4a
d
8a
answer is C.
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Detailed Solution
tanθ=yx The projection of BC on the x -axis, LC=ytan90∘−θ=ytanθ=y2x=4a