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Question

If band c are the lengths of the segments of any focal chord of a parabola y2=4ax,

then the length of the latus rectum is.


A

bcb+c

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B

bc

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C

[b+c]2

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D

2bcb+c

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Solution

The correct option is D

2bcb+c


Finding the length of the latus rectum:

It is given that b and c are lengths of the segments of any focal chord of the parabola y2=4ax.

If l is the length of the semi latus rectum of the parabola, then

1b+1c=2l

I=2bcb+c

The length of latus rectum =2bcb+c

Hence option (D) is Correct.


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