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Find the area enclosed between the para...

Find the area enclosed between the parabola `y^2=4a x`and the line `y = m x`.

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To find the area enclosed between the parabola \( y^2 = 4ax \) and the line \( y = mx \), we will follow these steps: ### Step 1: Find the Points of Intersection To find the area between the two curves, we first need to determine where they intersect. We set the equations equal to each other. 1. Substitute \( y = mx \) into \( y^2 = 4ax \): \[ (mx)^2 = 4ax ...
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Knowledge Check

  • If the area enclosed between the parabola y^(2)=4x and the line y = mx is (1/3) sq. unit, then : m =

    A
    1
    B
    2
    C
    3
    D
    4
  • Area between the parabola y^(2)=x and the line x = 3 is

    A
    `4sqrt(3)`
    B
    `2sqrt(3)`
    C
    `6sqrt(3)`
    D
    `5sqrt(3)`
  • The area between the parabola y=x^2 and the line y=x is :

    A
    `1/6` sq unit
    B
    `1/3` sq unit
    C
    `1/2` sq unit
    D
    none of these
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