Home
Class 11
MATHS
Find the locus of the point which is equ...

Find the locus of the point which is equidistant from the points `A(0,2,3)a n d\ (2,-2,1)dot`

Text Solution

Verified by Experts

Let P(x,y,z) be any purpose that is equal from A(0,2,3) and B(2,−2,1).
Then ,`(PA=PB)`
`PA^2=PB^2`
`sqrt((x-0)^2+(y-2)^2+(z-3)^2)=sqrt((x-2)^2+(y+2)^2+(z-1)^2)`
`=>4x−8y−4z+4=0`
`=>x−2y−z+1=0`
Therefore the calculated locus is `x−2y−z+1=0`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HYPERBOLA

    RD SHARMA|Exercise Solved Examples And Exercises|72 Videos
  • LIMITS

    RD SHARMA|Exercise All Questions|300 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the point which is equidistant from the points A(0,2,3) and B(2,-2,1)

Find the locus of the point which is equidistant from the points (1,-2,3) and (-3,4,2).

Knowledge Check

  • The locus of the point which is equidistant from the points (2, -2, 1) and (0, 2, 3) is

    A
    2x - y-z=1
    B
    x - 2y-z=1
    C
    x - 2y - 2+1 = 0
    D
    None of these
  • The locus of a point which is equidistant from point (p,2) and x-axis is

    A
    `h^(2)-8h-4k+20=0`
    B
    `h^(2)-8h+4k-20=0`
    C
    `h^(2)-6h+4k+20=0`
    D
    None of these
  • The locus of a point which is equidistant from point (4,2) and x-axis is

    A
    `h^(2)-8h-4k+20=0`
    B
    `h^(2)-8h+4k-20=0`
    C
    `h^(2)-6h+4k+20=0`
    D
    None of these
  • Similar Questions

    Explore conceptually related problems

    Find the locus of a point which is equidistant from the points (-1,2,3) and (3,2,1)

    Find the locus of the points which are equidistant from the points (1,2,3) and (3,2,11).

    Find the locus of a point whose each point is equidistant from the points A(2,3,-4) and B(-1,2,3).

    Determined the equation to the locus of the point which is equidistant from the points ( 2 , - 2 , - 4) and ( - 3 , 1 , 2) .

    Find the point of the -axis which is equidistant from the points A(1,5,7)n and B(5,1,-4)