1
IIT-JEE 2010 Paper 2 Offline
Numerical
+2
-0
Among the following, the number of elements showing only one non-zero oxidation state is :
O, Cl, F, N, P, Sn, Tl, Na, Ti
Your input ____
2
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+2
-0.5
Assuming that Hund’s rule is violated, the bond order and magnetic nature of the diatomic molecule B2 is
A
1 and diamagnetic
B
0 and diamagnetic
C
1 and paramagnetic
D
0 and paramagnetic
3
IIT-JEE 2010 Paper 2 Offline
Numerical
+2
-0

The total number of diprotic acids among the following is:

H3PO4, H2SO4, H3PO3, H2CO3, H2S2O7, H3BO3, H3PO2, H2CrO4 and H2SO3

Your input ____
4
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-0
Match the statement in Column-$$I$$ with the values in Column-$$II$$

$$\,\,\,\,$$ $$\,\,\,\,$$ $$\,\,\,\,$$ Column-$$I$$
(A)$$\,\,\,\,$$ A line from the origin meets the lines $$\,{{x - 2} \over 1} = {{y - 1} \over { - 2}} = {{z + 1} \over 1}$$
and $${{x - {8 \over 3}} \over 2} = {{y + 3} \over { - 1}} = {{z - 1} \over 1}$$ at $$P$$ and $$Q$$ respectively. If length $$PQ=d,$$ then $${d^2}$$ is
(B)$$\,\,\,\,$$ The values of $$x$$ satisfying $${\tan ^{ - 1}}\left( {x + 3} \right) - {\tan ^{ - 1}}\left( {x - 3} \right) = {\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$ are
(C)$$\,\,\,\,$$ Non-zero vectors $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c \,\,$$ satisfy $$\overrightarrow a \,.\,\overrightarrow b \, = 0.$$
$$\left( {\overrightarrow b - \overrightarrow a } \right).\left( {\overrightarrow b + \overrightarrow c } \right) = 0$$ and $$2\left| {\overrightarrow b + \overrightarrow c } \right| = \left| {\overrightarrow b - \overrightarrow a } \right|.$$
If $$\overrightarrow a = \mu \overrightarrow b + 4\overrightarrow c \,\,,$$ then the possible values of $$\mu $$ are
(D)$$\,\,\,\,$$ Let $$f$$ be the function on $$\left[ { - \pi ,\pi } \right]$$ given by $$f(0)=9$$
and $$f\left( x \right) = \sin \left( {{{9x} \over 2}} \right)/\sin \left( {{x \over 2}} \right)$$ for $$x \ne 0$$
The value of $${2 \over \pi }\int_{ - \pi }^\pi {f\left( x \right)dx} $$ is

$$\,\,\,\,$$ $$\,\,\,\,$$ $$\,\,\,\,$$Column-$$II$$
(p)$$\,\,\,\,$$ $$-4$$
(q)$$\,\,\,\,$$ $$0$$
(r)$$\,\,\,\,$$ $$4$$
(s)$$\,\,\,\,$$ $$5$$
(t)$$\,\,\,\,$$ $$6$$

A
$$\left( A \right) \to t;\,\,\left( B \right) \to p,r;\,\,\left( C \right) \to q,s;\,\,\left( D \right) \to r$$
B
$$\left( A \right) \to r;\,\,\left( B \right) \to p;\,\,\left( C \right) \to q,s;\,\,\left( D \right) \to r$$
C
$$\left( A \right) \to t;\,\,\left( B \right) \to p,r;\,\,\left( C \right) \to q;\,\,\left( D \right) \to r$$
D
$$\left( A \right) \to t;\,\,\left( B \right) \to r;\,\,\left( C \right) \to q,s;\,\,\left( D \right) \to r$$
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