A line segment AB of length λ moves such that the points A and B remain on the periphery of a circle of radius λ. Then the locus of the point, that divides the line segment AB in the ratio 2: 3, is a circle of radius:

Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 10 Apr, Morning shift · Q3056

JEE Main 202310 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

A line segment AB of length

\lambda

moves such that the points A and B remain on the periphery of a circle of radius

\lambda

. Then the locus of the point, that divides the line segment AB in the ratio 2 : 3, is a circle of radius :

JEE Main 2023 · 10 Apr, Morning shift · Q3056

JEE Main 202310 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

A line segment AB of length

\lambda

moves such that the points A and B remain on the periphery of a circle of radius

\lambda

. Then the locus of the point, that divides the line segment AB in the ratio 2 : 3, is a circle of radius :