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AB is a chord of the parabola y^2 = 4ax ...

AB is a chord of the parabola `y^2 = 4ax` with its vertex at A. BC is drawn perpendicular to AB meeting the axis at C.The projecton of BC on the axis of the parabola is

A

a

B

2a

C

4a

D

8a

Text Solution

Verified by Experts

The correct Answer is:
C
(3) `tantheta=(y)/(x)`
The projection of BC on the c-axis,
`LC=(y)/(tan(90^(@)-theta))=ytantheta=(y^(2))/(x)=4a`
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