Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Please let me know how to compute the possible cross points between an ellipse and a straight line. In details , I know the basic properties of the two shapes. So if the ellipse had its center at the origin and its axes were same as the XY axes then I could compute the cross points.

Thank you in advance.

share|improve this question

1 Answer 1

up vote 3 down vote accepted

Just solve the system of equations $$ \eqalign{&{x^2\over a^2}+{y^2\over b^2}=1\cr &y=mx+c} $$ using the substitution method.

I assume by ''cross point'' you mean ``intersection point''.

share|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.