Circle And System Of Circles Question 213

Question: Through which of the following pairs of points does the circle $ x^{2}+y^{2}-12x+1=0 $ pass

[MP PET 1983]

Options:

A) (-1, 0), $ (6,\sqrt{35}) $

B) $ (3,-\sqrt{26}),(-3,\sqrt{26}) $

C) $ (6,-\sqrt{35}) $ , $ (3,-\sqrt{26}) $

D) $ (0,,-1),(-6,-\sqrt{35}) $

Show Answer

Answer:

Correct Answer: C

Solution:

By inspection of the points $ (6,,-\sqrt{35}) $ and $ (3,,-\sqrt{26}) $ lie on the circle.