Conic Sections ...

The point $$(3, 4)$$ is the focus and $$2x - 3y + 5 = 0$$ is the directrix of a parabola. Lenghth of  latus rectum is

If the straight line $$y=mx+c$$ is parallel to the axis of the parabola $$y^2=lx$$ and intersects the parabola at $$\left(\dfrac{c^2}{8}, c\right)$$ then the length of the latus rectum is 

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

The radius of the circle passing through the point $$(6, 2)$$ and two of whose diameters are $$\displaystyle x+y=6$$ and $$\displaystyle x+2y=4$$ is:

Write the equation of the circle with center at $$(0,0)$$ and a radius of $$6$$

The graph of the equation $$x^2+2y^2

= 8$$ is

The graph of the equation $$4y^2 + x^2= 25$$ is

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: