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I : The locus of the point for whic...

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

Text Solution

Verified by Experts

The correct Answer is:
C
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Find the equation of locus of the point for which the sum of squares of distances from the coordinate axes is 25

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Knowledge Check

  • The locus of the point for which the sum of the squares of distances from the corrdinate axes is 25 is

    A
    `x^(2)+y^(2)=19`
    B
    `x^(2)+y^(2)=25`
    C
    `x^(2)+y^(2)=32`
    D
    `x^(2)+y^(2)=29`

  • The locus of a point for which the sum of the squares of the distances from the coordinate planes is 5 unit is

    A
    x + y + z = 4
    B
    x + y + z = 2
    C
    `x^2 + y^2 + z^2 = 4`
    D
    `x^2 + y^2 + z^2 = 5/2

  • 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 `

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    Locus of point for which the sum of squares of distance from the coordinate axes is 8 units is

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

    The locus of the point which moves such that the sum of the squares of its distances from (0, a) and (0,- a) is 2r^(2)" is "

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