question_answer 1)

Find the area enclosed between the parabola y2 = 4ax an the line y = mx. 

Answer:

Given curve y2 = 4ax                  ?. (1)       is right handed parabolas with vertex (0, 0) and the curve y = mx is a line passing through origin and having slope m                   Taking m > 0, if m < 0, area will be same by symmetry. Solving (1) and (2) points of intersection area (0, 0) and       Required area = shaded area