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

Question

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

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

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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)`

5 views Answered 2023-02-05 15:29