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Find the centre and radius of the following circles : 4x^2 + 4y^2 - 4x + 12y - 15 = 0 |
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Answer» Solution :`4X^2 + 4y^2 - 4x + 12y - 15 = 0` or, `x^2 + y^2 -x + 3y - (15)/4 = 0` `therefore` 2g = -1, 2F = 3, c = -15/4 `therefore` G = -1/2, f = 3/2 `therefore` Centre at (-g, -f) = (1/2, -3/2) and radius `sqrt(g^2 + f^2 -c)` = `sqrt(1/4 + 9/4 + (15)/4)` = 5/2 |
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