Q.

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

tan⁡θ=yx The projection of BC on the x -axis, LC=ytan⁡90∘−θ=ytan⁡θ=y2x=4a
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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