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JEE Math Practice Question

If $$\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1 - {1 \over {\sqrt 2 }},\left( {k > 0} \right),$$ then value of k is :

  1. A.4
  2. B.$${1 \over 2}$$
  3. C.1
  4. D.2

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