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The equation of the locus of the point w...

The equation of the locus of the point whose distance from x-axis is twice its distance from the y-axis is

A

`y^(2)=4x^(2)`

B

`4y^(2)=x^(2)`

C

y=3x

D

4x+y=0

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Knowledge Check

  • Statement-I : The locus of the point, whose distance from the X-axis is twice its distance from the y-axis is y^(2)=4x Statement-II : The locus of the point (cottheta+costheta,cottheta-costheta) is (x^(2)-y^(2))^(2)=16xy Then the correct statement is

    A
    only I
    B
    only II
    C
    both I and II
    D
    neither I nor II

  • The locus of a point whose distance from y-axis is one-third of its distance from origin is

    A
    `y^(2)=8x^(2)`
    B
    `8y^(2)=x^(2)`
    C
    `x^(2)+y^(2)=9`
    D
    `x^(2)+2y^(2)=9`

  • The locus of a point whose distance from the y-axis is half of its distance from origin is

    A
    `2x^(2)=y^(2)`
    B
    `x^(2)=3y^(2)`
    C
    `3x^(2)=y^(2)`
    D
    `x^(2)=2y^(2)`

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