MCQs of Complex Variable-Integration, Sequence and Series

Showing 1 to 10 out of 19 Questions
1.

The value of integral along the line $\mathrm{y}=\mathrm{x}$ is _____ .

 (a) 1 (b) 2 (c) i (d) 0
2.

The value of integral , where C is shortest path joining A(0, 0) to B(1, 1) , is _____ .

 (a) 1 (b) 2 (c) i (d) 0
3.

The value of integral , where , is _____ .

 (a) 1 (b) 2 (c) 3 (d) 0
4.

The value of integral , where , is _____ .

 (a) $2\pi i$ (b) $\pi i$ (c) $-2\pi i$ (d) $-\pi i$
5.

Let C be a circle $\left|\mathrm{z}-1\right|=3$ in the complex plane, then , is _____ .

 (a) $2\pi i$ (b) $4\pi i$ (c) $-2\pi i$ (d) none of these
6.

As per cauchy's integral formula _____ .

 (a) (b) $2\pi i$ (c) $\pi$ (d)
7.

As per cauchy's integral formula _____ .

 (a) $2\pi i$ (b) (c) (d) none of these
8.

The value of , , is _____ .

 (a) $4\pi i{e}^{2}$ (b) $2\pi i{e}^{2}$ (c) $4\pi ie$ (d) none of these
9.

Let C be a circle $|z|=3$ in the complex plane &  then k=_____ .

 (a) ${\mathrm{e}}^{2}$ (b) $\frac{{\mathrm{e}}^{2}}{2}$ (c) $\frac{{\mathrm{e}}^{2}}{3}$ (d) none of these
10.

Let C be a circle $\mathit{|}\mathit{z}\mathit{|}\mathit{=}\mathit{3}$ in the complex plane &  then k=_____ .

 (a) 0.5 (b) 0.75 (c) 1 (d) 0
Showing 1 to 10 out of 19 Questions