If the circles x^2+y^2+2 \alpha x+2 y-8=0 and x^2+y^2-2 x+\alpha y-14=0 intersect orthogonally, then the distance between their centres is [AP EAPCET 23 May 2024 S1]

Circle

Section: Mathematics

Question : 40 of 89

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If the circles x2+y2+2αx+2y−8=0 and x2+y2−2x+αy−14=0 intersect orthogonally, then the distance between their centres is

[AP EAPCET 23 May 2024 S1]

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