1
WB JEE 2023
+1
-0.25 If the vertices of a square are $${z_1},{z_2},{z_3}$$ and $${z_4}$$ taken in the anti-clockwise order, then $${z_3} =$$

A
$$- i{z_1} - (1 + i){z_2}$$
B
$${z_1} - (1 + i){z_2}$$
C
$${z_1} + (1 + i){z_2}$$
D
$$- i{z_1} + (1 + i){z_2}$$
2
WB JEE 2023
+1
-0.25 Reflection of the line $$\overline a z + a\overline z = 0$$ in the real axis is given by :

A
$$az + \overline {az} = 0$$
B
$$\overline a z - a\overline z = 0$$
C
$$az - \overline {az} = 0$$
D
$${a \over z} + {{\overline a } \over z} = 0$$
3
WB JEE 2022
+1
-0.25 If $$|z - 25i| \le 15$$, then Maximum arg(z) $$-$$ Minimum arg(z) is equal to

(arg z is the principal value of argument of z)

A
$$2{\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
B
$$2{\cos ^{ - 1}}\left( {{4 \over 5}} \right)$$
C
$${\pi \over 2} + {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
D
$${\sin ^{ - 1}}\left( {{3 \over 5}} \right) - {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
4
WB JEE 2022
+1
-0.25 If z = x $$-$$ iy and $${z^{{1 \over 3}}} = p + iq(x,y,p,q \in R)$$, then $${{\left( {{x \over p} + {y \over q}} \right)} \over {({p^2} + {q^2})}}$$ is equal to

A
2
B
$$-$$1
C
1
D
$$-$$2
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
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Calculus
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