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Joint equation of the X-axis and the bis...

Joint equation of the X-axis and the bisector of the angle in the first quadrant is

A

`xy+y^(2)=0`

B

`xy-x^(2)=0`

C

`xy-y^(2)=0`

D

`xy+x^(2)=0`

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Knowledge Check

  • The slope of the line which bisects the angles in the first and third quadrants is

    A
    -1
    B
    0
    C
    1
    D
    none of these

  • The joint equation of lines passing through the origin and trisecting the first quadrant is

    A
    `x^(2) +sqrt(3) xy -y^(2)=0`
    B
    `x^(2)+sqrt(3)xy - y^(2)=0`
    C
    `sqrt(3)x^(2) -4xy + sqrt(3)y^(2) =0`
    D
    `3x^(2)-y^(2)=0`

  • The joint equation of lines passing through the origin and trisecting the first quadrant is

    A
    `x^(2)+sqrt(3)xy-y^(2)=0`
    B
    `x^(2)-sqrt(3)xy-y^(2)=0`
    C
    `sqrt(3)x^(2)-4xy+sqrt(3)y^(2)=0`
    D
    `3x^(2)-y^(2)=0`

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    A curve in the first quadrant is such that the area of the triangle formed in the first quadrant bythe X-axis,a tangent to the curve at any of its point P and radius vector of the point P is 2 sq .units.If the curve passes through (2,1), find the equation of the curve.

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