Circle And System Of Circles Question 189

Question: The area of the curve $ x^{2}+y^{2}=2ax $ is

[MP PET 1996]

Options:

A) $ \pi a^{2} $

B) $ 2\pi a^{2} $

C) $ 4\pi a^{2} $

D) $ \frac{1}{2}\pi a^{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ x^{2}+y^{2}-2ax=0 $ Obviously, radius of the circle is a.

Hence the area of triangle is $ \pi a^{2} $ .