The circle S \equiv x^2+y^2-2 x-4 y+1=0 cuts the y axis at {\A}, {\B}(0 {\A}>0 {\B}). If the radical axis of S \equiv 0 and S^{'} \equiv x^2+y^2-4 x-2 y+4=0 cuts the {\y} - axis at {\C} then the ratio in which {\C} divides A B is [AP EAPCET 19 May 2024 Shift 2]

Correct Answer is : 7+2√3:−7+2√3

Circle

Section: Mathematics

Question : 84 of 89

Marks: +1, -0

The circle S≡x2+y2−2x−4y+1=0 cuts the y axis at A,B(0A>0B). If the radical axis of S≡0 and S′≡x2+y2−4x−2y+4=0 cuts the y - axis at C then the ratio in which C divides AB is

[AP EAPCET 19 May 2024 Shift 2]

7+2√3:−7+2√3
√3+2:√3−2
6−2√3:2√3−6
−3:√3

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