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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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CENGAGE-PARABOLA-Exercise (Single)
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  12. The set of values of alpha for which the point (alpha,1) lies inside t...

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  13. If X is the foot of the directrix on axis of the parabola. PP' is a d...

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  14. A water jet from a function reaches it maximum height of 4 m at a d...

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  15. Area of the triangle formed by the vertex, focus and one end of latusr...

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  16. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

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  17. Two parabolas have the same focus. If their directrices are the x- and...

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  18. The locus of the point (sqrt(3h),(sqrt(3)k+2)) if it lies on the line ...

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