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Tangent And Geometric Sequence (Posted on 2007-09-21) Difficulty: 2 of 5
P, Q and R are three points on the parabola y2 = 4bx, and the ordinates of the points P, Q and R (in this order) are in geometric sequence. b is a constant.

The tangents drawn respectively at the points P and R intersect at the point T.

Is it always the case that QT is perpendicular to the tangent drawn at Q?

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: I'm confused Comment 2 of 2 |
(In reply to I'm confused by Charlie)

"Rather than perpendicular to the tangent at Q, QT seems perpendicular to the axis of the parabola."

That's what I got.


  Posted by Bractals on 2007-09-21 20:19:13
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