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If the points (2,3) and (3,2) on a parab...

If the points (2,3) and (3,2) on a parabola are equidistant from the focus, then the slope of its tangent at vertex is (a) 1 (b) -1 (c) 0 (d) `oo`

A

1

B

`-1`

C

0

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
B
Equidistant points from focus are symmetric about axis of parabola. So, tangent at vertex is parallel to the line joining the two points.
`:.` Slope `= (3-2)/(2-3) =-1`
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