The parametric equations of a curve are 5 X=-, y = 5t, where t #0. Show that the curve has no stationary point. [3] (ii) Find the equation of the normal to the curve at the point P P 5p). (iii) The normal to the curve at the point P [3] 5 S 5p meets the curve again at the point (33, 5s). 1 Show that s = [2] 3. P (iv) Explain why every normal to the curve meets the curve again at another distinct point. [1]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The parametric equations of a curve are
5
X=-,
y = 5t, where t #0.
Show that the curve has no stationary point.
[3]
(ii)
Find the equation of the normal to the curve at the point P
P
5p).
(iii) The normal to the curve at the point P
[3]
5
S
5p meets the curve again at the point (33, 5s).
1
Show that s =
[2]
3.
P
(iv)
Explain why every normal to the curve meets the curve again at another distinct point.
[1]
Transcribed Image Text:The parametric equations of a curve are 5 X=-, y = 5t, where t #0. Show that the curve has no stationary point. [3] (ii) Find the equation of the normal to the curve at the point P P 5p). (iii) The normal to the curve at the point P [3] 5 S 5p meets the curve again at the point (33, 5s). 1 Show that s = [2] 3. P (iv) Explain why every normal to the curve meets the curve again at another distinct point. [1]
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