Home
Class 12
MATHS
Find the radical centre of the following...

Find the radical centre of the following circles
`x^2+y^2-4x-6y+5=0`
`x^2+y^2-2x-4y-1=0`
`x^2+y^2-6x-2y=0`

Text Solution

Verified by Experts

The correct Answer is:
`(7/6,11/6)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise -2.2 (Long Answer)|7 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Additional Exercise|18 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise -2.2 (Very Short Answer)|9 Videos

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

Find the radical centre of the following circles. x^2 + y^2 - 4x - 6y + 5 = 0 " __"(i) x^2 + y^2 - 2x -4y - 1 = 0" ___"(ii) x^2 + y^2 - 6x - 2y = 0 " __"(iii)

Find the radical centre of the following circles. x^2 + y^2 + 4x - 7 = 0 , 2x^2 + 2y^2 + 3x + 5y - 9 = 0 , x^2 + y^2 + y = 0 .

Knowledge Check

  • The radical centre of the circles x^2 +y^2 -4x -6y +5 =0 , x^2 +y^2 -2x -4y -1 =0, x^2 +y^2 -6x -2y =0 lies on the line

    A
    x +y -5 =0
    B
    2x -4y +7 =0
    C
    4x -6y +5 =0
    D
    18x -12y +1=0

  • The radical centre of the circles x^2+y^2-4x-6y+5=0, x^2+y^2-2x-4y-1=0 and x^2 +y^2-6x-2y=0=0 lies on the line

    A
    `x+y-5=0`
    B
    `2x-4y+7=0`
    C
    `4x-6y+5=0`
    D
    `18x -12y+1=0`

  • The radical centre of the circles x^2+y^2=9, x^2+y^2-2x-2y-5=0 , x^2+y^2+4x+6y-19=0 is

    A
    (0,0)
    B
    (1,1)
    C
    (2,2)
    D
    (3,3)

    • Similar Questions

    Explore conceptually related problems

    Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0

    Find the equation of the radical axis of the following circles. x^2 + y^2 -2x - 4y -1 = 0. x^2 + y^2 - 4x - 6y + 5 = 0 .

    Find the equation of the radical axis of the following circles. x^2+y^2+2x+4y+1=0 x^2+y^2+4x+y=0

    Find the radical centre of the circles x^(2)+y^(2)+4x=7=0, 2x^(2)+2y^(2)+3x+5y-9=0 and x^(2)+y^(2)+y=0.

    Common chord of the circles x^2+y^2-4x-6y+9=0, x^2+y^2-6x-4y+4=0 is

    Home
    Profile