Find the equation of the following circles having the centre (0,0) and radius 2 units

Find the centre and radius of the circle x² + y² = 16

Find the center and radius of the circle (x + 2) ( x - 5) + (y - 2 ) ( y - 1) = 0

Find the equation of the circle whose centre is (-3, -2) and having circumferences 16\(\pi\)

Find the equation of the circle on the line joining the points (1,0), (0,1) and having its centre on the line x + y = 1

If the lines x + y = 6 and x + 2y = 4 are diameters of the circle, and the circle passes through the point (2, 6)  then find its equation.

Convert the parabola y²=4x+4y into standard form.

Convert the equation of the parabola x²+y=6x-14 into the standard form.

Find the focus, equation of the directrix, vertrix and length of latus sections of the parabola x²=6y.

Show that perpendicular distances of the line x - y + 5 = 0 from origin and from the point P(2, 2) are equal.

If the angle between the two lines is \(\frac{\pi}{4}\) and slope of one of the lines is 3, then find the slope of the other line.

Find the equation of the circle with centre at (3, –1) and radius is 4 units.

Find the equation of the circle with centre at origin and radius is 3 units.

Find the parametric equations of the circle x² + y² = 25

The supply of a commodity is related to the price by the relation x = \(\sqrt{5p-15}\) . Show that the supply curve is a parabola.