Find the equation of the circle with the center \( (\dfrac{1}{2},\dfrac{1}{4})\) and radius \(\dfrac{1}{12} \)
Find the equation of the circle with the center \((1,1)\) and radius.\((r) = √2.\)
Find the equation of the circle with the center \((-a,-b)\) and radius \(√(a^2-b^2)\)
Find the center and radius of the circle \( 2x^2 + 2y^2 - x = 0\)
Find the equation of the circle passing through the points (2, 3) and (-1, 1) and whose center is on the line x-3y - 11 = 0
Find the equation of the circle with radius \(5\) whose center lies on the x-axis and passes through the point \((2, 3).\)
Find the equation of the circle passing through \( (0, 0)\) and making intercepts \(a\) and \(b\) on the coordinate axes.
Find the equation of a circle with center (2, 2) and passes through the point (4, 5).
Does the point \((-2.5, 3.5)\) lie inside, outside, or on the circle \(x^2 + y^2 = 25\) ?