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JEE Advanced 2020 Concept Recapitulation Test 3 Paper 1

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Question : 4

Total: 54

A planet of mass m moves along an ellipse around the sun of mass M (the sun is at one focus) so that its maximum and minimum distances from the sun are r1 and r2 and velocities at these points are v1 and v2 respectively. Then

v1r1=v2r2
total energy of planet is always constant
angular momentum of planet is m√‌
2GM(r1r2)
(r1+r2)
v2r1=v1r2

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