Circle And System Of Circles Question 84
Question: For all values of $ \theta $ , the locus of the point of intersection of the lines $ x\cos \theta +y\sin \theta =a $ and $ x\sin \theta -y\cos \theta =b $ is
Options:
A) An ellipse
B) A circle
C) A parabola
D) A hyperbola
Show Answer
Answer:
Correct Answer: D
Solution:
The point of intersection is $ x=a\cos \theta +b\sin \theta $
$ y=a\sin \theta -b\cos \theta $ . Therefore, $ x^{2}+y^{2}=a^{2}+b^{2} $ . Obviously, it is equation of a circle.
BETA
