Geometry

Conic Sections

Conics - Circle Standard Equation

         

What is the equation of the circle passing through the points (0,0)(0,0) and (6,12)(6,12) with center on the line y=x+3?y=x+3?

What is the equation of the circle which passes through the two points (3,0)(-3,0) and (7,4)(7,4) and is centered at a point on the yy-axis?

If (2,6)(-2, -6) and (8,8)(8, 8) are two endpoints of a diameter of a circle, what is the equation of the circle?

What is the equation of the circle tangent to the xx-axis with center (5,1)(5,-1)?

If the circle x2+y28x+2y+1=0x^2+y^2-8x+2y +1=0

has center (a,b)(a,b) and radius r,r, what is the value of a+b+r?a+b+r ?

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