SOLUTION: The line {{{2x - ky = 0}}} intersects the ellipse {{{25x^2 + 9y^2 = 225}}} at two different points. find k. please show me how to do it and please give the answer. thank you s

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The line {{{2x - ky = 0}}} intersects the ellipse {{{25x^2 + 9y^2 = 225}}} at two different points. find k. please show me how to do it and please give the answer. thank you s      Log On


   



Question 1016365: The line 2x+-+ky+=+0 intersects the ellipse 25x%5E2+%2B+9y%5E2+=+225 at two different points. find k.

please show me how to do it and please give the answer. thank you so much

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The line 2x - ky = 0 will ALWAYS intersect the ellipse 25x%5E2+%2B+9y%5E2=225 at TWO distinct points, as it always passes through the origin, while the given ellipse is centered at the origin. Additional conditions should be given or some kind of typo mistake was made.