1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If $$ - \pi < \arg (z) < - {\pi \over 2}$$, then $$\arg \overline z - \arg ( - \overline z )$$ is

A
$$\pi$$
B
$$-$$ $$\pi$$
C
$${\pi \over 2}$$
D
$$ - {\pi \over 2}$$
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

For the real parameter t, the locus of the complex number $$z = (1 - {t^2}) + i\sqrt {1 + {t^2}} $$ in the complex plane is

A
an ellipse
B
a parabola
C
a circle
D
a hyperbola
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $$x + {1 \over x} = 2\cos \theta $$, then for any integer n, $${x^n} + {1 \over {{x^n}}} = $$

A
$$2\cos n\theta $$
B
$$2\sin n\theta $$
C
$$2i\cos n\theta $$
D
$$2i\sin n\theta $$
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $$\omega$$ $$\ne$$ 1 is a cube root of unity, then the sum of the series $$S = 1 + 2\omega + 3{\omega ^2} + \,\,.....\,\, + 3n{\omega ^{3n - 1}}$$ is

A
$${{3n} \over {\omega - 1}}$$
B
$$3n(\omega - 1)$$
C
$${{\omega - 1} \over {3n}}$$
D
0
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12