Circles Test 3...

The equation to the circle with centre $$(2,1)$$ and touches the line $$3x+4y-5$$ is ?

Find the equation of the circle  passing through the origin and centre lies on the point  of intersection of the lines $$2x+y=3$$ and $$3x+2y=5$$.

The length of the diameter of the circle $${x^2} + {y^2} - 4x - 6y + 4 = 0$$

The locus of a point which is at a constant distance 5 from the fixed point $$(2,3)$$ is:

Find the equation of the circle : 
Centered at $$(3,-2)$$ with radius $$4$$. 

If the vertices of a triangle are $$(2, -2), (-1, -1)$$ and $$(5, 2)$$ then the equation of its circumcircle is?

The equation of the circle passing through (2,0) and (0,4) and having the minimum radius is 

For what value of $$k$$, does the equation $$9{x^2} + {y^2} = k\left( {{x^2} - {y^2} - 2x} \right)$$ represents equation of a circle?

Which of the following is the equation of a circle?

The centre of the circle given by $$\mathbf { r } \cdot ( \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k } ) = 15 \text { and } | \mathbf { r } - ( \mathbf { j } + 2 \mathbf { k } ) | = 4 ,$$