Circles Test 2...

The centre of a circle whose end points of a diameter are $$(-6,3)$$ and $$(6,4)$$ is

Find the equation of the circle that passes through the points $$(0,6),(0,0)$$ and $$(8,0)$$

$$f(\displaystyle \mathrm{m}_{\mathrm{i}}, \frac{1}{\mathrm{m}_{\mathrm{i}}})$$ , $$\mathrm{i}=1,2,3,4$$ are four distinct points on the circle with centre origin, then value of $$\mathrm{m}_{1}\mathrm{m}_{2}\mathrm{m}_{3}\mathrm{m}_{4}$$ is equal to

A Iight ray gets reflected

from the $$x = -2$$. If the reflected touches the circle $$x^2 + y^2 = 4$$ and point of incident is $$(-2,-4)$$, then equation of incident ray is 

Find the equation of the circle with center at $$(-3,5)$$ and passes through the point $$(5,-1)$$

Let P point on the circle $$x^2 + y^2 = 9$$, Q a point on the line $$7x + y + 3 = 0$$, and the perpendicular bisector of PQ be the line $$x - y + 1 = 0$$. Then the coordinate of P are

If the line $$3x+4y=24$$ and $$4x+3y=24$$ intersects the coordinates axes at $$A,B,C$$ and $$D$$, then the equation of the circle passing through these $$4$$ points  is

Equation of a circle passing through the point $$(1,2)$$ and $$(3,4)$$ and touching the line $$2x+y-3=0$$ is

A circle touches the y-axis at $$(0, 2)$$ and has an intercept of $$4$$ units on the positive side of the x-axis. Then the equation of the circle is?

O is the centre of a circle of diameter $$4$$cm and OABC is a square, if the shaded area is $$\displaystyle\frac{1}{3}$$ area of the square, then the side of the square is __________.