Mathematics · important
Line through origin intersecting origin-centred circle for JEE
Points of intersection of a line and a circle with the centre at the origin
Formula
\(y=mx\Rightarrow \left(\pm\dfrac{a}{\sqrt{1+m^2}},\ \pm\dfrac{am}{\sqrt{1+m^2}}\right)\)
Variables: Circle \(x^2+y^2=a^2\), line \(y=mx\).
Conditions: Signs are taken same in each coordinate.
Chord through centre, endpoints of diameter along a direction.