1
IIT-JEE 1987
Fill in the Blanks
+2
-0
If the expression
$$${{\left[ {\sin \left( {{x \over 2}} \right) + \cos {x \over 2} + i\,\tan \left( x \right)} \right]} \over {\left[ {1 + 2\,i\,\sin \left( {{x \over 2}} \right)} \right]}}$$$
is real, then the set of all possible values of $$x$$ is ..............
2
IIT-JEE 1987
MCQ (More than One Correct Answer)
+2
-0.5
If $${{{z_1}}}$$ and $${{{z_2}}}$$ are two nonzero complex numbers such that $$\left| {{z_1}\, + {z_2}} \right| = \left| {{z_1}} \right|\, + \left| {{z_2}} \right|\,$$, then Arg $${z_1}$$ - Arg $${z_2}$$ is equal to
3
IIT-JEE 1987
MCQ (More than One Correct Answer)
+2
-0.5
The value of $$\sum\limits_{k = 1}^6 {(\sin {{2\pi k} \over 7}} - i\,\cos \,{{2\pi k} \over 7})$$ is
4
IIT-JEE 1987
MCQ (Single Correct Answer)
+2
-0.5
The number of all possible triplets $$\left( {{a_1},\,{a_2},\,{a_3}} \right)$$ such that $${a_1} + {a_2}\,\,\cos \left( {2x} \right) + {a_3}{\sin ^2}\left( x \right) = 0\,$$ for all $$x$$ is
Paper analysis
Total Questions
Chemistry
17
Mathematics
27
Physics
1
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