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The locus of the point which is eq...

The locus of the point which is equidistant to the coordinate axes is `

A

`x^(2)+y^(2)=0`

B

`x(2)-y^(2)=0`

C

`x+y=0`

D

`x-y=0`

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Knowledge Check

  • The locus of the point whose distances to the coordinates axes arc in the ratio 2 : 3 is

    A
    ` 3 x ^ 2 - 4y ^ 2 = 0`
    B
    `4 x ^ 2 - 3y ^ 2 = 0 `
    C
    ` 4 x ^ 2 - 16 y ^ 2 = 0`
    D
    ` 4 x ^ 2 - 9y ^ 2 = 0 `
  • I : The locus of the point for which the sum of the sqaures of distances from the coordinate axes is 25 is x ^ 2 + y^ 2 = 25 II : The locus of the point whose distances to the coordinate axes are in the ratio 2 : 3 is 4 x ^ 2 - 9y^ 2 = 0

    A
    only I is true
    B
    only II is true
    C
    both I and II are true
    D
    neither I nor II are true
  • The locus of the point which is equidistant from xy plane and yz - plane is

    A
    `y^2-z^2=0`
    B
    `z^2-x^2=0`
    C
    `x^2-y^2=0`
    D
    `x^2+y^2+z^2=0`
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    Find the equation of louse of a point which is equidistant from the coordinate axes.

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