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If the distance from 'P' to the points (...

If the distance from 'P' to the points (2,3) and (2,-3) are in the ratio 2:3, then find the equation of the locus of P.

Text Solution

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The correct Answer is:
`5x^(2)+5y^(2)-20x-78y+65=0`
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If the distance from 'P' to the points (2,3) and (2,-3) are in the ration 2:3 , then find the equation of locus of p .

If the distance from P to the points (2,3),(2,-3) are in the ratio 2:3 the find the locus of P.

Knowledge Check

  • If the distances from P to the points ( 3, 4 ) , ( - 3, 4 ) are in the ratio 3 : 2, then the locus of P is

    A
    ` 5 x ^ 2 + 5y ^ 2 - 12 x - 86 y + 17 = 0 `
    B
    ` 5 x ^ 2 + 5y ^ 2 - 34 x + 120 y + 29 = 0`
    C
    ` 5 x ^ 2 + 5y ^ 2 - 5x + y + 14 = 0 `
    D
    `5 x ^ 2 + 5y ^ 2 + 78 x - 40 y + 125 = 0 `

  • I : If the distances from P to the points ( 3,4), ( - 3, 4) are in the ratio 3 : 2 , then the locus of P is 5 x ^ 2 + 5y ^ 2 + 78 x - 40 y + 125 = 0 II : A ( -9, 0) , B( -1, 0) are two points. If P is a point such that P A : PB = 3 : 1 , then the locus of P is x ^ 2 + y^ 2 = 9

    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 distance between the points (-1,2,3) and P is 13. Then P =

    A
    `(2,6,-9)`
    B
    `(-2,6,9)`
    C
    (2 , 6, 9)
    D
    `(-2,-6,-9)`

    • Similar Questions

    Explore conceptually related problems

    If the distance from P to the points (5,-4), (7,6) are in the ratio 2:3 then find the locus of P.

    If the distance from P to the points (5,-4) (7,6) are in the ratio 2 :3 , then find the locus of P.

    If the distance from P to the points (3,4) and (-3,4) are in the ratio 3:2, find the locus of P.

    If a point P is moving such that the lengths of tangents drawn from P to the circles x^(2) + Y^(2) -4x -6y -12 = 0 and x^(2) +y^(2) + 6x + 18 y + 26 = 0 are in the ratio 2 : 3 , then find jthe equation of the locus of P.

    If a point P is moving such that the lengths of tangents drawn from P to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 are the ratio 2:3, then find the equation to the locus of P.

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