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If a circle C passing through the point (4,0) touches the circle `x^(2)+y^(2)+4x-6y=12` externally at the point (1,-1) ,then the radius of C is

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If a circle C passing through (4,0) touches the circle x^(2)+y^(2)+4x-6y-12=0 externally at a point (1,-1), then the radius of the circle C is :

The equation of the cirele which passes through the point (1,1) and touches the circle x^(2)+y^(2)+4x-6y-3=0 at the point (2,3) on it is

Knowledge Check

  • If circle C passing through the point (2, 2) touches the circle x^2 + y^2 + 4x - 6y = 0 externally at the point (1, 1), then the radius of C is:

    A
    `sqrt(12)`
    B
    `sqrt(13)`
    C
    `sqrt(15)`
    D
    4

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

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

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

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

    • Similar Questions

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    Find the equation of the circle which passes through the point (1, 1) & which touches the circle x^(2) + y^(2) + 4x – 6y – 3 = 0 at the point (2, 3) on it.

    The inverse of the point (1,2) with respect to circle x^(2)+y^(2)-4x-6y+9=0

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

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

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

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