1
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1

The coordination number of Al in the crystalline state of AlCl$$_3$$ is ___________.

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2
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1

The total number of cyclic structural as well as stereoisomers possible for a compound with the molecular formula C$$_5$$H$$_{10}$$ is ____________.

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3
IIT-JEE 2009 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
For $$0 < \theta < {\pi \over 2},$$ the solution (s) of $$$\sum\limits_{m = 1}^6 {\cos ec\,\left( {\theta + {{\left( {m - 1} \right)\pi } \over 4}} \right)\,\cos ec\,\left( {\theta + {{m\pi } \over 4}} \right) = 4\sqrt 2 } $$$ is (are)
A
$$\,{\pi \over 4}$$
B
$$\,{\pi \over 6 }$$
C
$$\,{\pi \over 12}$$
D
$$\,{5\pi \over 12}$$
4
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1
The smallest value of $$k$$, for which both the roots of the equation $$${x^2} - 8kx + 16\left( {{k^2} - k + 1} \right) = 0$$$ are real, distinct and have values at least 4, is
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