Circle And System Of Circles Question 140

Question: Radius of circle $ (x-5)(x-1)+(y-7)(y-4)=0 $ is

Options:

A) 3

B) 4

C) 5/2

D) 7/2

Show Answer

Answer:

Correct Answer: C

Solution:

Extremities of diameter are (5, 7) and (1, 4) and radius is half of the distance between them

$ =\frac{1}{2}\sqrt{{{(4)}^{2}}+{{(3)}^{2}}}=\frac{5}{2} $ .