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Q.

If one end of focal chord of the parabola y2=8x is 12,2, then the length of the focal chord is ____ units

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a

6254

b

25

c

52

d

252

answer is C.

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Detailed Solution

The given parabola is y2=8x

Parametric points on the parabola are at12,2at1      at22,2at2

Here a=2,t1t2=-1

Therefore, the points are 12,2,8,-8

The length of the focal chord is the distance between the above two points 

Hence, length of the focal chord is 252 sqaure units

 

 

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