Circles Test 1...

Which of the following is an equation of the circle with its center at $$(0,0)$$ that passes through $$(3,4)$$ in the standard $$(x,y)$$ coordinate plane?

A circle with center $$(3, 8)$$ contains the point $$(2, -1)$$. Another point on the circle is:

The area of the circle represented by the equation $${(x+3)}^{2}+{(y+1)}^{2}=25$$ is

Which of the following is an equation of a circle in the $$xy$$-plane with center $$\left(0, 4\right)$$ and a radius with endpoint $$\left(\dfrac{4}{3}, 5\right)$$?

The lines $$2x - 3y - 5 = 0$$ and $$3x -4y = 7$$ are diameters of a circle of area 154 sq units, then the equation of the circle is.( Use $$\pi = \dfrac{22}{7}$$)

The least value of $$2x^{2} + y^{2} + 2xy + 2x - 3y + 8$$ for real numbers $$x$$ and $$y$$ is

Let $$ABCD$$ be a square of side length $$1$$. and $$\Gamma $$ a circle passing through $$B$$ and $$C$$, and touching $$AD$$. The radius of $$\Gamma $$ is

Consider the parametric equation
$$x = \dfrac {a(1 - t^{2})}{1 + t^{2}}, y = \dfrac {2at}{1 + t^{2}}$$.