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The centre of the circle passing through the points (0,0), (1,0) and touching the circle `x^2+y^2=9` is

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Show that the centre of the circle passing through the points (0,0) and (1,0) and touching the circle x^(2)+y^(2)=9 is (1/2,+-sqrt(2))

Find the centre of the circle passing through the points (0,0), (2,0) and (0, 2) .

Knowledge Check

  • The centre of the circle passing through the point (0, 1) and touching the curve y=x^(2) at (2, 4) is

    A
    `((16)/(5), (53)/(10))`
    B
    `((-2)/(3), (-4)/(3))`
    C
    `((-4)/(3), (2)/(3))`
    D
    `((-16)/(5), (53)/(10))`

  • The centre of the circle passing through the point (1,0) and cutting the circles x^2 + y^2 -2 x + 4y+1=0 and x^2 +y^2 + 6x - 2y + 1 =0 orthogonally is

    A
    `(-(2)/(3),(2)/(3))`
    B
    `(1/2,1/2)`
    C
    `(0,1)`
    D
    `(0,0)`

  • The centre of the circle passing through the point (1,0) and cutting the circles x^(2)+y^(2)-2x+4y+1=0 and x^(2)+y^(2)+6x-2y+1=0 orthogonally is

    A
    `(-(2)/(3),(2)/(3))`
    B
    `((1)/(2),(1)/(2))`
    C
    (0, 1)
    D
    (0, 0)

    • Similar Questions

    Explore conceptually related problems

    Show that the locus of the centres of the circles passing through the points of intersections of the circles x^2+y^2=1 and x^2+y^2-2x+y=0 is x+2y=0

    The centre of the circle passing through the point (1,1) and orthogonal to the circles x^(2)+y^(2)+3x-5y+7=0andx^(2)+y^(2)-6x-10y+9=0 is

    The equation of the circle passing through the point (1,2) cutting the circle x^(2) + y^(2) - 2x + 8y + 7 = 0 rthogonally and bisecting the circumference of the circle x^(2) + y^(2) = 9 is

    The locus of the centres of the circles passing thorugh the points of intersection of the circles x^(2) + y^(2) =1 and x^(2) + y^(2) - 2x +y=0 is

    The equation of the circle passing through the point of intersection of the circles x^(2) + y^(2) = 5, x^(2) + y^(2) + 12x + 8y - 33 = 0 and touching x-axis is

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