1
WB JEE 2019
+2
-0.5
For any non-zero complex number z, the minimum value of | z | + | z $$-$$ 1 | is
A
1
B
$${{1 \over 2}}$$
C
0
D
$${{3 \over 2}}$$
2
WB JEE 2019
+2
-0.5
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
$$\left( { - 2,{\pi \over 6}} \right)$$
3
WB JEE 2018
+1
-0.25
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
4
WB JEE 2018
+1
-0.25
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
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