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Find the locus of a point which moves su...

Find the locus of a point which moves such that its distance from the origin is three times its distance from x-axis.

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To find the locus of a point that moves such that its distance from the origin is three times its distance from the x-axis, we can follow these steps: ### Step 1: Define the point Let the point be \( P(x, y) \). ### Step 2: Calculate the distance from the origin The distance of point \( P(x, y) \) from the origin \( O(0, 0) \) is given by the formula: \[ ...
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Knowledge Check

  • The locus of a point which moves such that its distance from the point (0,0)is twice its distance from the Y axis is

    A
    `x^2-y^2=0`
    B
    `x^2-3y^2=0`
    C
    `3x^2-y^2=0`
    D
    none of the above

  • The locus of a point which moves such that its distance from the point (0,0)is twice its distance from the Y axis is

    A
    `x^2-y^2=0`
    B
    `x^2-3y^2=0`
    C
    `3x^2-y^2=0`
    D
    none of the above

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