1
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
$${\sin ^{ - 1}}\left( {{3 \over 5}} \right) - {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
2
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
3
WB JEE 2021
+1
-0.25
If |z| = 1 and z $$\ne$$ $$\pm$$ 1, then all the points representing $${z \over {1 - {z^2}}}$$ lie on
A
a line not passing through the origin
B
the line y = x
C
the X-axis
D
the Y-axis
4
WB JEE 2021
+1
-0.25
Let C denote the set of all complex numbers. Define A = {(z, w) | z, w$$\in$$C and |z| = |w|}, B = {z, w} | z, w$$\in$$C and z2 = w2}. Then
A
A = B
B
A $$\subset$$ B
C
B $$\subset$$ A
D
A $$\cap$$ B = $$\varphi$$
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