problem 1: A fixed point f is 75 mm apart from the fixed straight line. Draw the locus of a point P moving in such a manner that its distance from the fixed straight line is 3/2 times of its distance from focus. Recognize the curve. Draw tangent and normal at any point on the curve.

problem 2: Draw the path traced by a moving point when its distance from the focus and fixed straight line is equivalent. The distance of focus from directrix is 40 mm. Draw the tangent and normal at any point on curve.

problem 3: Make a hyperbola when the distance between focus and directrix is 40 mm. The eccentricity is 4/3. Draw tangent and normal at any point on the curve.

problem 4: A circle of diameter 40 mm rolls on a straight line devoid of slipping. Draw the locus of point P on the circumference of circle for 3/4th of its revolution. Draw the tangent and normal at any point on curve.

problem 5: Draw the path traced by a point on the circumference of circle of diameter 40 mm that rolls inside the other circle of diameter 200 mm devoid of slipping. Draw the tangent and normal at any point on the curve.

problem 6: Draw the path traced by a point on the circumference of circle of diameter 50 mm that rolls over the other circle of diameter 180 mm devoid of slipping. Draw the tangent and normal at any point on the cycloid.

problem 7: An inelastic string of length 120 mm is wound around a drum of diameter 30 mm. Draw the path traced by the end of string when it is unwound from the drum. In addition draw the tangent and normal at any point on the curve.

problem 8: Draw an involute around a square of side 40 mm. Draw the tangent and normal at any point on the curve.