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Q.

The ordinate of a point on the parabola y2=18x is one third of its length of the
latusrectum. Then the length of subtangent at the point is

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a

8

b

12

c

6

d

4

answer is D.

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Detailed Solution

let Px1,y1 be a point on 

y2=18x     4a=18

Length of latus rectum =4a

y1=18*1/3=6 2ydy/dx=18 m=dy/dx=9/6=3/2

Length of sub-tangent y/m=6/3/2=4

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