Coordinate Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q218

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

A circle

C

of radius 2 lies in the second quadrant and touches both the coordinate axes. Let

r

be the radius of a circle that has centre at the point

(2, 5)

and intersects the circle

C

at exactly two points. If the set of all possible values of

r

is the interval

(\alpha, \beta)

, then

3\beta - 2\alpha

is equal to:

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JEE Main 2025 Coordinate Geometry Question with Solution (January Unspecified (session-level dataset), Q218) | JEE Arc