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The area bounded by the curve y = 2x - x...

The area bounded by the curve `y = 2x - x^(2)` and the line y = - x is

A

`(9)/(2)` sq. units

B

`(43)/(6)` sq. units

C

`(35)/(6)` sq. units

D

none of these

Text Solution

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The correct Answer is:
A
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Knowledge Check

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

    A
    `1//2`
    B
    `1//3`
    C
    `1//4`
    D
    `1//6`

  • Area bounded by the curve y=x^(2)-2x and the line y = 2x is

    A
    `(125)/(6)`
    B
    `(32)/(3)`
    C
    36
    D
    28

  • 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)`

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