1
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
Let $$z = \,\cos \,\theta \, + i\,\sin \,\theta $$ . Then the value of $$\sum\limits_{m = 1}^{15} {{\mathop{\rm Im}\nolimits} } ({z^{2m - 1}})\,at\,\theta \, = {2^ \circ }$$ is
2
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
Let $$z = x + iy$$ be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the equation $$\overline z {z^3} + z{\overline z ^3} = 350$$ is
3
IIT-JEE 2009 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
If $${{{{\sin }^4}x} \over 2} + {{{{\cos }^4}x} \over 3} = {1 \over 5},$$ then
4
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
Paper analysis
Total Questions
Chemistry
20
Mathematics
20
Physics
20
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