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GATE Mathematics 2014 Paper

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Question : 45

Total: 55

Let

be a vector field defined on
R2\(0,0) by

.
Let γ,α:[0,1]→R2 be defined by γ(t)=(8‌cos‌2πt,17‌sin‌2π) and α(t)=(26‌cos‌2πt,−10‌sin‌2πt).
If 3‌

=2mπ, them m is _________

6.99 to 7.01
6.89 to 6.99
6.59 to 7.01
7.09 to 7.91

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