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The area of the region bounded by the cu...

The area of the region bounded by the curve `ay^(2)=x^(3)`, the Y-axis and the lines y = a and y = 2a, is

Text Solution

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The correct Answer is:
`(2.2^(2//3) -1)` sq. units
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Knowledge Check

  • Area of the region bounded by the curve y^(2) = 4x , y-axis and the line y = 3 is

    A
    1 sq. units
    B
    `9//4` sq. units
    C
    `6sqrt""3` sq. units
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    None of these

  • The area of the region bounded by the curves y^(2)=4a^(2)(x-1) and the lines x = 1 and y = 4a, is

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    `(21a)/(2)` sq unit
    B
    `(16)/(3)` sq unit
    C
    `(17a)/(3)` sq unit
    D
    `(16a)/(3)` sq unit

  • The area of the region bounded by the curve y=2x-x^(2) and X- axis is

    A
    `(2)/(3)` sq.units
    B
    `(4)/(3)` sq.units
    C
    `(5)/(3)` sq.units
    D
    `(8)/(3)` sq.units

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