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Find the value of |a| for which the area...

Find the value of |a| for which the area of triangle included between the coordinate axes and any tangent to the curve `x ^(a) y = lamda ^(a)` is constant (where `lamda` is constnat.),

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Knowledge Check

  • The value of n for which the area of the triangle formed by the axes of coordinates and any tangent to the curve x^ny=a^n

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

  • The area of the traingle formed by the coordinate axes and a tangent to the curve xy=a^2 at the point (x_1,y_1) is

    A
    `(a^2x_1)/y_1`
    B
    `(a^2 y_1)/x_1`
    C
    `2a^2`
    D
    `4a^2`

  • The area bounded by the coordinate axes and the curve sqrt(x) + sqrt(y) = 1 , is

    A
    `1` square unit
    B
    `1/2` square unit
    C
    `1/3` square unit
    D
    `1/6` square unit

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    Find the area of the region included between the parabolas y^(2)=4ax and x^(2)=4ay, where a>0

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    The area bounded by the coordinate axes and the curve sqrt(x)+sqrt(y)=1 is

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