# Example of Tangents Drawn from Point to the Circle

To find the equation of tangents lines drawn from the point to the circle given by

Now to solve this example we follow these steps

Consider the given equation of circle

Compare this circle with general equation of circle as

Here we have following values

Now centre of the circle (i) is

Radius of circle (i) is

Let be the slope of the tangent drawn from to the given circle (i), then its equation is

Since the line (ii) is a tangent to the circle (i), so the distance of the centre of the circle should be equal to its radius, i.e.

Now solving this quadratic equation of variable , by quadratic formula, we have

Putting the value of one root, in equation (ii), we get

This is one equation of required tangents to the circle.

Putting the value of second root, in equation (ii), we get

This is second equation of required tangents to the circle.