Circles

The circle $C\,$ has the equation $x^2 + y^2 - 14x + 2y + 40 = 0$

a.

Find (i) the coordinates of the centre of $C\,$ and (ii) the exact radius of $C$ .

[3]

b.

The line with equation $y = k x$ where $k\,$ is a constant, meets $C\,$ at two distinct points. Find the range of possible values of $k$ .

[6]

The circle $C\,$ has the equation $x^2 + y^2 - 14x + 2y + 40 = 0$

a.

Find (i) the coordinates of the centre of $C\,$ and (ii) the exact radius of $C$ .

[3]

b.

The line with equation $y = k x$ where $k\,$ is a constant, meets $C\,$ at two distinct points. Find the range of possible values of $k$ .

[6]

Circles Questions