Find Points Of Intersection of Ellipse and Line - Calculator
A calculator to find the points of intersection of a ellipse and a line.
Intersection of Ellipse and LineThe equation of the ellipse is of the form
(x - h)2 / a2 + (m x + B - k)2 / b2 = 1
which may be rearranged as a quadratic equation given by
(b2 + a2 m2) x2 + (-2 h b2 + 2 m a2 B - 2 m a2 k) x + (b2 h2 + a2 k2 + a2 B2 - 2 a2 B k - a2 b2) = 0
To find the points of intersection, this calculator solves the above equation to find the x coordinates and then uses equation y = m x + B to find the y coordinates.
Use Calculator to Find Points Of Intersection of Ellipse and Line1 - Enter the coordinates (h , k) of the center of the ellipse and the constant a and b then enter the slope m of the line and its y intercept B; then press "Calculate". The x and y coordinates of the two points of intersection P1 and P2 are displayed.
Note that this problem may have two points of intersection, one point of intersection or no points of intersection.
More References and linksFind the Points of Intersection of a Parabola with a Line . Another tutorial on finding the points of intersection of a parabola with a line; general analytical solution.
Maths Calculators and Solvers .