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

The equation of the locus of the point whose distance from y-axis is half the distance from origin is

A

`x^(2)+3y^(2)=0`

B

`x^(2)-3y^(2)=0`

C

`3x^(2)+y^(2)=0`

D

`3x^(2)-y^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The locus of a point whose distance from (-2, 0) is (2)/(3) times its distance from the line x = (-9)/(2) is

    A
    a parabola
    B
    a hyperbola
    C
    an ellipse
    D
    a circle

  • The locus of a point whose distance from (-2,0) " is " 2/3 times its distance from the line x= (-9)/2 is

    A
    a parabola
    B
    a hyperbola
    C
    an ellipse
    D
    a circle

  • The distance of the point A(2,3,4) from X-axis is

    A
    5
    B
    `sqrt(13)`
    C
    `2sqrt(5)`
    D
    `5sqrt(2)`

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