12th Class Mathematics Application of integrals

  • question_answer 23) Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12. 

    Answer:

    Given curve is 4y = 3x2                                           ?? (1)             and 2y = 3x + 12             (1)   and (2) x2 = 2x + 8 x2 ? 2x ? 8 = 0 (x ? 4) (x + 2) = 0 x = 4, ? 2 (2)  y = 12 when x = 4       and y = 3 when x = ?2    points of intersection are (4, 12) and (?2, 3) Required area = Shaded area                                           = 36 ? 16 + 9 ? 2 = 27.    

More Questions

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

adversite


You need to login to perform this action.
You will be redirected in 3 sec spinner

Free
Videos