If a circle C, whose radius is 3, touches externally the circle, x² + y² + 2x - 4y - 4 = 0 at the point (2, 2), then the length of the intercept cut by this circle C, on the x-axis is equal to:

Coordinate Geometry: JEE Main 2018 Mathematics question

JEE Main 2018 · 16 Apr, Morning shift · Q3077

JEE Main 201816 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If a circle C, whose radius is 3, touches externally the circle,

{x^2} + {y^2} + 2x - 4y - 4 = 0

at the point (2, 2), then the length of the intercept cut by this circle C, on the x-axis is equal to :

JEE Main 2018 · 16 Apr, Morning shift · Q3077

JEE Main 201816 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If a circle C, whose radius is 3, touches externally the circle,

{x^2} + {y^2} + 2x - 4y - 4 = 0

at the point (2, 2), then the length of the intercept cut by this circle C, on the x-axis is equal to :