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Question

The length of the latus-rectum of the parabola y2+8x2y+17=0 is 



A

2

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B

4

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C

8

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D

16

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Solution

The correct option is C

8


Given: y2+8x2y+17=0

              (y1)21+8x+17=0                (y1)2+8x+16=0

                (y1)2=8(x+2)

                Let X=x+2,Y=y-1

                  Y2=8X

                   Comparing with y2=4ax:

                     a=2

               Length of the latus rectum =4a=8 units.


Mathematics
RD Sharma
Standard XI

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