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.