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Hyperbola question

2023 · 11 Apr · Shift 1 · Q25

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PYQ Library
JEE Main
Mathematics
Hyperbola
2023 · 11 Apr · Shift 1 · Q25

Hyperbola question

2023 · 11 Apr · Shift 1 · Q25

JEE MainMathematicsHyperbolaMCQ+4 / −1

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 :

A
hyperbola
B
straight line
C
parabola
D
circle

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