Let R be a rectangle given by the lines x=0, x=2, y=0 and y=5. Let A (α,0) and B (0,β),α [0,2] and β [0,5], be such that the line segment AB divides the area of the rectangle R in the ratio 4: 1. Then, the mid-point of AB lies on a:

Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Morning shift · Q3947

JEE Main 202311 Apr, Morning shiftMathematicsHardCoordinate Geometry478× since 2002

Let R be a rectangle given by the lines

x=0, x=2, y=0

and

y=5

. Let A

(\alpha,0)

and B

(0,\beta),\alpha\in[0,2]

and

\beta\in[0,5]

, be such that the line segment AB divides the area of the rectangle R in the ratio 4 : 1. Then, the mid-point of AB lies on a :