Question

"– Derivatives: Justify each of the steps to get there from this group of exercises,each situation raised must be accompanied by an explanation graph modeled in GeoGebra.

Find the area of the parallelogram formed by the intersection of the four tangent lines to the hyperbola x² −y² =1 at points where the hyperbola intercepts the ellipse x² +2y² =4

Answer 1

To find the area of the parallelogram formed by the intersection of the four tangent lines to the hyperbola x² −y² =1 at points where the hyperbola intercepts the ellipse x² +2y² =4, you can start by finding the points of intersection and then use the formula for the area of a parallelogram.

Step-by-step explanation:

To find the area of the parallelogram formed by the intersection of the four tangent lines to the hyperbola x² −y² =1 at points where the hyperbola intercepts the ellipse x² +2y² =4, we can start by finding the points of intersection. By solving the system of equations, we can find the x-coordinate of the intersection points. Substituting these x-values back into the equation of the hyperbola, we can find the y-values. Once we have the four points of intersection, we can use the formula for the area of a parallelogram, which is base times height.