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- Problem 1: A hyperbola has a vertical transverse axis of length 12 and asymptotes ofProblem 4 Form the differential equation representing the family of hyperbola having the center at the origin and the foci on x-axis.Find the equations of the normal and the tangent to the hyperbola xy + 2x - 5y-2= 0 at the point (3, 2)
- Find the point(s) on the hyperbola x^2 - y^2 = 2 closest to the point (0, 1).Problem 3 A woman, at a point A on the shore of a circular lake with a radius of 2 miles, wants to reach point C diametrically opposite to A on the other side of the lake in the shortest possible time (see the figure). She can walk at a speed of 4 miles / hour and row at 2 miles / hour.What should be her route to get to point C in the shortest time possible?15 Select the conic section represented by the given equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 ellipse circle parabola point line hyperbola