If {\P}(\alpha, \beta) is the radical centre of the circles {\S} \equiv {\x}^2+ {\y}^2+4 {\x}+7=0, S^{'} \equiv 2 x^2+2 y^2+3 x+5 y+9=0 and S^{' '} \equiv x^2+y^2+y=0, then the length of the tangent drawn from P to {\S}^{'}=0 is [AP EAPCET 23 May 2025 S2]

Circle

Section: Mathematics

Question : 22 of 89

Marks: +1, -0

If P(α,β) is the radical centre of the circles S≡x2+y2+4x+7=0, S′≡2x2+2y2+3x+5y+9=0 and S′′≡x2+y2+y=0, then the length of the tangent drawn from P to S′=0 is

[AP EAPCET 23 May 2025 S2]

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