Find the equation of all lines that are tangent to \(C\) and are also perpendicular to \(L\text{.}\) Draw a labeled diagram showing the curve \(C\text{,}\) the line \(L\text{,}\) and the line(s) of ...

As the tangent is a straight line, the equation of the tangent will be of the form \(y = mx + c\). We can use perpendicular gradients to find the value of \(m\), then use the coordinates of P to ...

A tangent to a circle at point P is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is ...