A circle S \equiv x^2+y^2+2 g x+2 f y+4=0 cuts the circle x^2+y^2-4 x-4 y-4=0 orthogonally and makes an angle of 60^{\circ} with the circle x^2+y^2+4 x+4 y+4=0. Then the radius of the circle {\S}=0 is [TG EAPCET 13 May 2023 Shift 2]

TS EAMCET Engineering 13 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 52 of 160

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A circle S≡x2+y2+2gx+2fy+4=0 cuts the circle x2+y2−4x−4y−4=0 orthogonally and makes an angle of 60∘ with the circle x2+y2+4x+4y+4=0. Then the radius of the circle S=0 is

[TG EAPCET 13 May 2023 Shift 2]

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