Coordinate Geometry Question 68
Question: If the coordinates of a point be given by the equation $ x=a(1-\cos \theta ), $ $ y=a\sin \theta $ , then the locus of the point will be
Options:
A) A straight line
B) A circle
C) A parabola
D) An ellipse
Show Answer
Answer:
Correct Answer: B
Solution:
On eliminating q, we get the required locus. Since $ x=a(1-\cos \theta )\Rightarrow x-a=-a\cos \theta $ …..(i) and $ y=a\sin \theta $ …..(ii)
Now adding the squares of (i) and (ii), we get
$ x^{2}+y^{2}-2ax=0 $ , which is equation of a circle.
BETA
