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The area (in sq. units) bounded by the p...

The area (in sq. units) bounded by the parabola `y=x^2-1`, the tangent at the point (2,3) to it and the y-axis is

A

`14/3`

B

`56/3`

C

`8/3`

D

`32/3`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The area bounded by the parabola y = x^(2) and the line y = 2x is

    A
    `(4)/( 3)`
    B
    `(2)/( 3)`
    C
    `( 51)/( 3)`
    D
    `( 20)/( 3)`

  • The area bounded by the parabola x^2=y and is latus rectum is :

    A
    `a) (8)/(3)`
    B
    b)`(2)/(3)`
    C
    `c) (4)/(3)`
    D
    d)`(1)/(6)`

  • The area bounded by the parabola y^(2) = x and its latus rectum is

    A
    `2 int_(0)^((1)/(4))y dx `
    B
    `2 int_(0)^((1)/(4))sqrt(x) dx `
    C
    `(1)/(6)`
    D
    `(2)/(3)`

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