Circles Test 2...

The value of k, such that the equation 
$$2x^{2}+2y^{2}-6x+8y+k=0$$ represent a point circle , is 

If the radius of the circle $$x^{2}+y^{2}-18x-12y+k=0$$ be $$11$$ then k=

If $$P\left(2, 8\right)$$ is an interior point of a circle $${x}^{2}+{y}^{2}–2x + 4y – p = 0$$ which neither touches nor intersects the axes, then set for $$p$$ is ______________.

Find the equation of a circle whose centre is (2, - 1 ) an radius is 3

The equation of a circle which is passing through the vertices of an equilateral triangle whose median is of length 3 a is

A variable circle passes through the fixed point A(p, q) and touches x-axis. The locus of the other end of the diameter through A is?

$$AB$$ is a chord of the circle $$x^{2} + y^{2} = 9$$. The tangent at $$A$$ and $$B$$ intersect at $$C$$. If $$(1, 2)$$ is the midpoint of $$AB$$, the area of $$\triangle ABC$$ is (in square units).

A circle whose centre is the point of intersection of the lines $$2x-3y+4=0$$ and $$3x+4y-5=0$$ passes through the origin. Find its equation.

The equation of the circle with centre $$(2, 2)$$ which passes through $$(4,5)$$ is 

The centre of a circle is $$C(2,-5)$$ and the circle passes through the point $$A(3,2)$$. The equation of the circle is