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Show that the area of the triangle forme...

Show that the area of the triangle formed by the common chord of two circles `S=x^2+y^2-2x+4y-11=0` and `S'-=x^2+y^2+4x-6y+4=0` and the coordinate axes is `15/8` sq. units.

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Find the equation of the circle whose diameter is the common chord of the circles x^2+y^2+2x+3y+1=0 and x^2+y^2+4x+3y+2=0

Find the equation and length of the common chord of the two circles S=x^2+y^2+3x+5y+4=0 and S=x^2+y^2+5x+3y+4=0

Knowledge Check

  • The equation of the circle whose diameter is the common chord of the circles x^2 + y^2 + 2x + 2y +1 =0 and x^2 + y^2 + 4x +6y +4 =0 is

    A
    `2x^2 + 2y^2 -2x +4y +1=0`
    B
    `x^2 + y62 -x +2y +4=0`
    C
    `3x^2 + 3y^2 -3x +6y -8 =0`
    D
    `10x^2 + 10y^2 + 14x + 8y + 1=0`

  • The length of the common chord of the circles x^(2)+y^(2)-6x-4y+9=0andx^(2)+y^(2)-8x-6y+23=0 is

    A
    `sqrt(2)`
    B
    2
    C
    `2sqrt(2)`
    D
    4

  • The distance of the point (1, -2) from the common chord of the circles x^2+y^2-5x+4y-2=0, x^2+y^2-2x+8y+3=0

    A
    2
    B
    4
    C
    `1//2`
    D
    0

    • Similar Questions

    Explore conceptually related problems

    Find the equation of the common chord of the following pair of circles x^2+y^2-4x-4y+3=0 x^2+y^2-5x-6y+4=0

    Find the area of the triangle formed by the normal at ( 3,-4) to the circle x^(2) + y^(2) -22x -4y+ 25=0 with the coordinates axes.

    The length of the common chord of the two circles x^(2) + y^(2) - 4y = 0 and x^(2) + y^(2) - 8x - 4y + 11 = 0 is

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

    The length of the common chord of the two circles x^(2) + y^(2) - 4y = 0 " and " x^(2) + y^(2) - 8x - 4y - 11= 0 is

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