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Consider the family of circles {x}^{{{2}}}+{y}^{{{2}}}-{2}{x}-

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Consider the family of circles $x^{2} + y^{2} - 2 x - 2 a y - 8 = 0$ passing through two fixed points A and B . Also, $S = 0$ is a cricle of this family, the tangent to which at A and B intersect on the line $x + 2 y + 5 = 0$ .
If the circle $x^{2} + y^{2} - 10 x + 2 y = c = 0$ is orthogonal to $S = 0$ , then the value of c is

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Consider the family of circles

x^{2} + y^{2} - 2 x - 2 a y - 8 = 0

passing through two fixed points A and B . Also,

S = 0

is a cricle of this family, the tangent to which at A and B intersect on the line

x + 2 y + 5 = 0

.
If the circle

x^{2} + y^{2} - 10 x + 2 y = c = 0

is orthogonal to

S = 0

, then the value of c is

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