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If the area of the region bounded by the...

If the area of the region bounded by the line y = mx and the curve `x^(2)=y` is `32/3` sq. units, then find the positive value of m, using integration.

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Knowledge Check

  • The area of the region bounded by the curve y = x ^(2) and the line y =16 is :

    A
    `32/3`
    B
    `(256)/(3)`
    C
    `(64)/(3)`
    D
    `(128)/(3)`

  • The area of the region bounded by the lines y = mx, x = 1, x = 2 and X-axis is 6 sq units, then m is equal to

    A
    3
    B
    1
    C
    2
    D
    4

  • The area of the region bounded by the curves y^(2)=8x and y = x (in sq unit) is

    A
    `(64)/(3)`
    B
    `(32)/(3)`
    C
    `(16)/(3)`
    D
    `(8)/(3)`