If a circle passing through (4, -2) is concen | vedclass

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(A) Two circles are concentric if they have the same center. The given circle is $x^2 + y^2 - 2x + 4y + 20 = 0$.The equation of any circle concentric

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$-4$

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(A) Two circles are concentric if they have the same center. The given circle is $x^2 + y^2 - 2x + 4y + 20 = 0$.The equation of any circle concentric to this circle is of the form $x^2 + y^2 - 2x + 4y + c = 0$.Since this circle passes through the point $(4, -2)$,we substitute $x = 4$ and $y = -2$ into the equation:$(4)^2 + (-2)^2 - 2(4) + 4(-2) + c = 0$$16 + 4 - 8 - 8 + c = 0$$20 - 16 + c = 0$$4 + c = 0$$c = -4$

If a circle passing through $(4, -2)$ is concentric with the circle $x^2 + y^2 - 2x + 4y + 20 = 0$,then find the value of $c$ for the circle $x^2 + y^2 - 2x + 4y + c = 0$.

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