1
IIT-JEE 2007
MCQ (Single Correct Answer)
+2
-0.5
The question contains STATEMENT - 1 (Assertion) and STATEMENT - 2 (Reason) and has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
STATEMENT - 1 Alkali metals dissolve in liquid ammonia to give blue solutions. because
STATEMENT - 2 Alkali metals is liquid ammonia give solvated species of the type [M(NH3)n]+ (M = alkali metals)
A
Statement - 1 is true and Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1
B
Statement - 1 is true and Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
C
Statement - 1 is True, Statement - 2 is False
D
Statement - 1 is False, Statement - 2 is True
2
IIT-JEE 2007
MCQ (Single Correct Answer)
+3
-0.75
A man walks a distance of 3 units from the origin towards the north-east ($$N\,{45^ \circ E }$$) direction. From there, he walks a distance of 4 units towards the north-west $$\left( {N\,{{45}^ \circ }\,W} \right)$$ direction to reach a point P. Then the position of P in the Argand plane is
A
$$3{e^{i\pi /4}} + 4i$$
B
$$\left( {3 - 4i} \right){e^{i\pi /4}}$$
C
$$\left( {4 + 3i} \right){e^{i\pi /4}}$$
D
$$\left( {3 + 4i} \right){e^{i\pi /4}}$$
3
IIT-JEE 2007
MCQ (Single Correct Answer)
+3
-0.75
If $$\left| z \right|\, =1\,and\,z\, \ne \, \pm \,1,$$ then all the values of $${z \over {1 - {z^2}}}$$ lie on
A
a line not passing through the origin
B
$$\left| z \right|\, = \,\sqrt 2 $$
C
the x-axis
D
the y-axis
4
IIT-JEE 2007
MCQ (Single Correct Answer)
+3
-0.75
The number of solutions of the pair of equations $$$\,2{\sin ^2}\theta - \cos 2\theta = 0$$$ $$$2co{s^2}\theta - 3\sin \theta = 0$$$

in the interval $$\left[ {0,2\pi } \right]$$

A
zero
B
one
C
two
D
four
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