Home
Class 11
MATHS
The equation (x-x1)(x-x2)+(y-y1)(y-y2=0 ...

The equation (x-x_1)(x-x_2)+(y-y_1)(y-y_2=0` Represents a circle whose centre is

A

`((x_(1) -x_(2))/(2), (y_(1)-y_(2))/(2))`

B

`((x_(1) + x_(2))/(2), (y _(1) + y _(2))/(2))`

C

`(x_(1), y _(2))`

D

`(x _(2), y _(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The equation (x-5)^(2)+(x-5)(y-6)-2(y-6)^(2)=0 represents

Solve the following:prove that the equation 3x^2+3y^2-6x+4y-1=0 represents a circle.Find its centre and radius.

Knowledge Check

  • Centre of circle (x-x_1) (x-x_2) +(y-y_1) (y-y_2) =0 is

    A
    `((x_1 +y_1)/2, (x_2 +y_2)/2)`
    B
    `((x_1 -y_1)/2, (x_2 -y_2)/2)`
    C
    `((x_1 +x_2)/2, (y_1 +y_2)/2)`
    D
    `((x_1 -x_2)/2, (y_1 -y_2)/2)`

    • Similar Questions

    Explore conceptually related problems

    Show that the equations x^2+y^2-6x+4y-36=0 represents a circle,Also find its centre and radius.

    If one of the diameters of the circle, given by the equation, x^2+y^2-4x+6y-12=0 , is a chord of a circle S, whose centre is at (-3,2), then the radius of S is

    Show that the equation: 3x^2+3y^2+12x+18y-11=0 represents a circle.

    If one of the diameters of the circle, given by the equation x ^(2) + y^(2) + 4x + 6y -12 =0, is a chord of a circle S, whose centre is (2,-3), the radius of S is

    If equation 4x^(2)+2pxy+25y^(2)+2x+5y-1=0 represents parallel lines, then p is equal to

    The equation x-y=4 and x^2+4xy+y^2=0 represent the sides of

    The equation (13x -1)^(2) + (13y -1)^(2) =k (5x-12y+1)^(2) will represent a parabola, if

    Home
    Profile