12th Class Mathematics Application of integrals

  • 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                                      

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