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Find The equation of circle concentric w...

Find The equation of circle concentric with circle `x^2+y^2-6x+ 12y+ 15=0` when its area is double.

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To find the equation of a circle that is concentric with the given circle \(x^2 + y^2 - 6x + 12y + 15 = 0\) and has an area that is double that of the original circle, we will follow these steps: ### Step 1: Identify the center of the given circle The general form of a circle's equation is: \[ x^2 + y^2 + 2gx + 2fy + c = 0 \] From the given equation \(x^2 + y^2 - 6x + 12y + 15 = 0\), we can identify: ...
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