Conic Sections ...

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

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:

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

Length of the latus rectum of the hyperbola $$xy=c^{2}$$, 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?

The length of latus recturn of the hyperbola
$${ 9x }^{ 2 }-16{ y }^{ 2\quad }+72x-32y-16=0$$

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

Equation of the hyperbola with eccentricity $$3/2$$ and foci at $$(\pm 2, 0)$$ is

Which of the following is the equation of a circle?