Circle And System Of Circles Question 91

Question: The area of the circle whose centre is at (1, 2) and which passes through the point (4, 6) is

[MNR 1982; IIT 1980; Karnataka CET 1999; MP PET 2002; DCE 2000; Pb. CET 2002]

Options:

A) $ 5\pi $

B) $ 10\pi $

C) $ 25\pi $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Obviously radius $ =\sqrt{{{(1-4)}^{2}}+{{(2-6)}^{2}}}=5 $

Hence the area is given by $ \pi r^{2}=25\pi \ sq.\ units $ .