WB JEE 2022 | Complex Numbers Question 19 | Mathematics

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WB JEE 2022

MCQ (Single Correct Answer)

-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)

$$2{\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$

$$2{\cos ^{ - 1}}\left( {{4 \over 5}} \right)$$

$${\pi \over 2} + {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$

$${\sin ^{ - 1}}\left( {{3 \over 5}} \right) - {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$

WB JEE 2022

MCQ (Single Correct Answer)

-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

$$-$$1

$$-$$2

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

If |z| = 1 and z $$\ne$$ $$\pm$$ 1, then all the points representing $${z \over {1 - {z^2}}}$$ lie on

a line not passing through the origin

the line y = x

the X-axis

the Y-axis

WB JEE 2021

MCQ (Single Correct Answer)

-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 = B

A $$ \subset $$ B

B $$\subset$$ A

A $$\cap$$ B = $$\varphi $$

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