The minimum distance between any two points P₁ and P₂ while considering point P₁ on one circle and point P₂ on the other circle for the given circles' equations

x² + y² $$-$$ 10x $$-$$ 10y + 41 = 0

x² + y² $$-$$ 24x $$-$$ 10y + 160 = 0 is ___________.

Let a point P be such that its distance from the point (5, 0) is thrice the distance of P from the point ($$-$$5, 0). If the locus of the point P is a circle of radius r, then 4r² is equal to ________

If the area of the triangle formed by the positive x-axis, the normal and the tangent to the circle (x $$-$$ 2)² + (y $$-$$ 3)² = 25 at the point (5, 7) is A, then 24A is equal to _________.

If one of the diameters of the circle x² + y² - 2x - 6y + 6 = 0 is a chord of another circle 'C', whose center is at (2, 1), then its radius is ________.