Question

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

• A. (–1, 0), $( 6 , \sqrt { 35 } )$
• B. $( 3 , - \sqrt { 26 } ) , ( - 3 , \sqrt { 26 } )$
• C. $( 6 , - \sqrt { 35 } )$ , $( 3 , - \sqrt { 26 } )$
• D. $( 0 , - 1 ) , ( - 6 , - \sqrt { 35 } )$

Answer 1

Answer: (C)

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

Answer 2

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