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JEE Main 09 April 2016 Paper
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© examsnet.com
Question : 6
Total: 90
Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is
1
4
he area of the ellipse. (See figure) With db as the semimajor axis, and ca as the semiminor axis. If
t
1
is the time taken for planet to go over path abc and
t
2
for path taken over cda then :
t
1
=
t
2
t
1
=
2
t
2
t
1
=
3
t
2
t
1
=
4
t
2
Validate
Solution:
Total area = A
Area of sabc
=
3
A
4
Area of sadc
=
A
4
3
A
4
t
1
=
A
4
t
2
⇒
t
1
=
3
t
2
© examsnet.com
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