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Let the line y = mx intersects the curve...

Let the line `y = mx` intersects the curve `y^2 = x` at P and tangent to `y^2 = x` at P intersects x-axis at Q. If area (`triangle`OPQ) = 4, find `m (m gt 0)`.

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Knowledge Check

  • The straight lines y=+-x intersect the parabola y^2=8x in points P and Q, then length of PQ is

    A
    4
    B
    `4sqrt2`
    C
    8
    D
    16

  • The straight lines y=+-x intersect the parabola y^(2)=8x in points P and Q, then length of PQ is

    A
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    B
    `4sqrt(2)`
    C
    `8`
    D
    `16`

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