Conic Sections

In each of the following Exercises 1 to 5, find the equation of the circle with centre (0, 2) and radius 2

In each of the following Exercises 1 to 5, find the equation of the circle with centre (-2, 3) and radius 4

In each of the following Exercises 1 to 5, find the equation of the circle with centre (1/2, 1/4) and radius 1/12

In each of the following Exercises 1 to 5, find the equation of the circle with centre (1, 1) and radius $\sqrt{2}$

In each of the following Exercises 1 to 5, find the equation of the circle with centre (-a, -b) and radius $\sqrt{a² - b²}$

In each of the following Exercises 6 to 9, find the centre and radius of the circles (x + 5)² + (y - 3)² = 36

In each of the following Exercises 6 to 9, find the centre and radius of the circles x² + y² - 4x - 8y - 45 = 0

In each of the following Exercises 6 to 9, find the centre and radius of the circles x² + y² - 8x + 10y - 12 = 0

In each of the following Exercises 6 to 9, find the centre and radius of the circles 2x² + 2y² - x = 0

Find the equation of the circle passing through the points (4, 1) and (6, 5) and whose centre is on the line 4x + y = 16.

Find the equation of the circle passing through the points $(2, 3)$ and $(-1, 1)$ and whose centre is on the line $x - 3y - 11 = 0$.

Find the equation of the circle with radius $5$ whose centre lies on $x$-axis and passes through the point $(2, 3)$.

Find the equation of the circle passing through $(0, 0)$ and making intercepts $a$ and $b$ on the coordinate axes.

Find the equation of a circle with centre (2, 2) and passes through the point (4, 5).

Does the point (-2.5, 3.5) lie inside, outside or on the circle x² + y² = 25?

In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum: y² = 12x

In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum: x² = 6y

In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum: y² = -8x

In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum: x² = -16y

In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum: y² = 10x