If one of the diameters of the circle $ x^{2}+y^{2}-2 x-6 y+6=0 $ is a chord of another circle $ { }^{\prime} C^{\prime} $, whose center is at $ (2,1) $, then its radius is

Question

If one of the diameters of the circle $ x^{2}+y^{2}-2 x-6 y+6=0 $ is a chord of another circle $ { }^{\prime} C^{\prime} $, whose center is at $ (2,1) $, then its radius is,

MARKS App · Accepted Answer

x 2 + y 2 + 2 x - 6 y + 6 = 0 center 1 , 3 radius = 2 distance between 1 , 3 and 2 , 1 is 5 ∴ 5 2 + 2 2 = r 2 ⇒ r = 3

Search any question & find its solution

Looking for more such questions to practice?