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If the points A (1,3) and B (5,5) lying ...

If the points A (1,3) and B (5,5) lying on a parabola are equidistant from focus, then the slope of the directrix is

A

`(1)/(2)`

B

`-(1)/(2)`

C

2

D

-2

Text Solution

Verified by Experts

The correct Answer is:
A
(1) Since points A and B are equidistant from focus, line AB is perpendicular to axis and so, parallel to directrix.
`:.` Slope of directrix = Slope of AB `=(5-3)/(5-1)=(1)/(2)`
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