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Find the sum of the squares of the inter...

Find the sum of the squares of the intercepts of the line 4x-3y=12 on the axes of co-ordinate.

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Find the sum of the square of the intercepts of the line 4x - 3y = 12 on the axes of co-ordinates.

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Knowledge Check

  • The sum of the reciprocals of intercepts made by the line ax+by=a+b on the coordinate axes is

    A
    2
    B
    -1
    C
    `(a-b)/(a+b)`
    D
    1

  • If the sum of the squares of the intercepts on the axes cut off by the tangent to the curve x^(1//3)+y^(1//3)=a^(1//3) "with" (a>0) at (a//8,a//8) is 2, then a has the value

    A
    1
    B
    2
    C
    4
    D
    8

    • Similar Questions

    Explore conceptually related problems

    Find the intercepts of the plane 4x+3y-2z+2=0 on the coordinate axes.

    Find the intercepts of the plane 4x+3y-2z+2=0 on the coordinate axes.

    Find the intercepts of the plane 4x + 3y - 2z + 2 = 0 on the co-ordinate ! axes.

    Find the intercepts of the plane 4x + 3y - 2z + 2 = 0 on the coordinate axes.

    If the sum of the squares of the intercepts on the axes cut off by the tangent to the curve x^(1//3)+y^(1//3)=a^(1//3)(a gt 0) at ((a)/(8),(a)/(8)) is 2 find the value of a.

    If the sum of the reciprocals of the intercepts made by a variable straight line on the axes of co-ordinate is a constant, then prove that the line always passes through a fixed point.

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