MAT136H1 Lecture Notes - Hyperbola, Polar Coordinate System
92
MAT136H1 Full Course Notes
Verified Note
92 documents
Document Summary
Hyperbola equations are in the form of ( ), and asymptotes at ( where the foci at ( ) and vertices at. Find an equation for the conic that satisfies the given conditions. Hyperbola with asymptotes and , and foci at ( ) and. The foci lie on a horizontal line at the altitude of , so the conditions represent a hyperbolas opening sideways. The asymptotes are in the equation of the form ( ) where ( then the relationship can be established as. Given the foci at ( ) and ( ), and the distance between them is , dividing this by gives , then . Since ; ( ) then . ) ( ): ( ), when they are expanded and simplified.
