Question

A circle has the equation x² + y2 = 7

P is the point (-2,13) on the circle x² + y2 = 7
Work out the equation of the tangent to the circle at P.

Answer 1

x=√−y2+7 or x=−√−y2+7

Explanation:

Answer 2

A tangent to a circle at point P with coordinates 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 a straight line, the equation of the tangent will be of the form y = m x + c .

Explanation: