1.

Find the centre and radius of the following circles : ax^2 + ay^2 + 2gx + 2fy + K = 0

Answer»

Solution : `ax^2 + ay^2 + 2gx + 2FY + K = 0`
or, `x^2 + y^2 + (2G)/a x + (2f)/a y + k/a = 0`
`THEREFORE` Centre of (-g/a, -f/a)
and radius = `sqrt(g^2/a^2 + f^2/a^2 - k/a) = sqrt((g^2 + f^2 - AK)/a)`


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