Mathematicians at Monash University have cracked a centuries-old puzzle dating back to the 17th century, extending Descartes’ ...

there will be one point of intersection If the line misses the circle, there will be no point of intersection \(y = x + 1\) which appears to cut the circle in two points \(x = 1\) which appears to ...

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 \(y = mx + c\).