1. In Exercises (a)-(c) find the orthogonal trajectories of each given family of curves. In each case sketch several members of the family and several of the orthogonal trajectories on the same set of axes. (a) y² - cx, (b) y= cx² x+1' (c) 22y-1+ ce-2y. 2. Find the orthogonal trajectories of the family of circles which are tangent to the y axis at the origin. 3. Find the value of n such that the curves "+y" c₁ are the orthogonal trajectories of the family y= I - C₂ 4. Find a family of oblique trajectories that intersect the family of circles r² + y²=c² at angle 45º. 5. Find a family of oblique trajectories that intersect the family of curves x+y= cr² at angle a such that tana = 2.