1
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The polar coordinate of a point P is $$\left( {2, - {\pi \over 4}} \right)$$. The polar coordinate of the point Q which is such that line joining PQ is bisected perpendicularly by the initial line, is
A
$$\left( {2,{\pi \over 4}} \right)$$
B
$$\left( {2,{\pi \over 6}} \right)$$
C
$$\left( { - 2,{\pi \over 4}} \right)$$
D
$$\left( { - 2,{\pi \over 6}} \right)$$
2
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $${Z_r} = \sin {{2\pi r} \over {11}} - i\cos {{2\pi r} \over {11}}$$, then $$\sum\limits_{r = 0}^{10} {{Z_r}} $$ is equal to
A
$$-$$ 1
B
0
C
i
D
$$-$$ i
3
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If z1 and z2 be two non-zero complex numbers such that $${{{z_1}} \over {{z_2}}} + {{{z_2}} \over {{z_1}}} = 1$$, then the origin and the points represented by z1 and z2
A
lie on a straight line
B
form a right angled triangle
C
form an equilateral triangle
D
form an isosceles triangle
4
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $${a_r} = {(\cos 2r\pi + i\sin 2r\pi )^{1/9}}$$,

then the value of $$\left| {\matrix{ {{a_1}} & {{a_2}} & {{a_3}} \cr {{a_4}} & {{a_5}} & {{a_6}} \cr {{a_7}} & {{a_8}} & {{a_9}} \cr } } \right|$$ is equal to
A
1
B
$$-$$ 1
C
0
D
2
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Class 12