1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

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
MCQ (Single Correct Answer)
+1
-0.25
Change Language

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 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If a, b are odd integers, then the roots of the equation $$2a{x^2} + (2a + b)x + b = 0$$, $$a \ne 0$$ are

A
rational
B
irrational
C
non-real
D
equal
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

There are n white and n black balls marked 1, 2, 3, ...... n. The number of ways in which we can arrange these balls in a row so that neighbouring balls are of different colours is

A
(n!)2
B
(2n)!
C
2(n!)2
D
$${{(2n)!} \over {{{(n!)}^2}}}$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12