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

The number of water molecule(s) directly bonded to the centre in CuSO$$_4$$ . 5H$$_2$$O is __________.

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2
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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3
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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4
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1
Let $$\left( {x,\,y,\,z} \right)$$ be points with integer coordinates satisfying the system of homogeneous equation: $$$\matrix{ {3x - y - z = 0} \cr { - 3x + z = 0} \cr { - 3x + 2y + z = 0} \cr } $$$

Then the number of such points for which $$x^2 + {y^2} + {z^2} \le 100$$ is

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