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Q.

Distance of a point P on the parabola y2=48x fromthe focus is l and its distance from the tangent atthe vertex is d, then l – d is equal to

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a

4

b

8

c

12

d

16

answer is C.

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Detailed Solution

Any point on the parabola is P12t2,24t whosedistance from the focus (12, 0) is 12(t2+1=t andfrom y-axis, the tangent at the vertex is 12t2=d.So l – d = 12.
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Distance of a point P on the parabola y2=48x fromthe focus is l and its distance from the tangent atthe vertex is d, then l – d is equal to