Mathematics · important
Condition for line to intersect circle at origin-centred circle for JEE
Points of intersection of a line and a circle with the centre at the origin
Formula
\(c^2\le a^2(1+m^2)\)
Variables: Line \(y=mx+c\), circle \(x^2+y^2=a^2\).
Conditions: Equality gives tangency, strict inequality gives secant.
Relative position of line and circle.