STD 11 - 4.1 complex nubers - CBSE STD 11 Science Maths Questions - Vidyadip

Question types

STD 11 - 4.1 complex nubers question types

646 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

646

Questions

1

Question groups

5

Question types

M.C.Q (1 Marks)

Sample Questions

STD 11 - 4.1 complex nubers questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

If $n$ is a positive integer, then ${\left( {\frac{{1 + i}}{{1 - i}}} \right)^{4n + 1}}$=

A
$1$
B
$-1$
✓
$i$
D
$ - i$

Answer: C.

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Q 2M.C.Q (1 Marks)1 Mark

If $(1 - i)^n = 2^n,$ then $n = $

A
$1$
✓
$0$
C
$- 1$
D
None of these

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark

The value of $\frac{{{i^{592}} + {i^{590}} + {i^{588}} + {i^{586}} + {i^{584}}}}{{{i^{582}} + {i^{580}} + {i^{578}} + {i^{576}} + {i^{574}}}} - 1 = $

A
$ - 1$
✓
$-2$
C
$ - 3$
D
$-4$

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark

$1 + {i^2} + {i^4} + {i^6} + ..... + {i^{2n}}$is

A
Positive
B
Negative
C
Zero
✓
Cannot be determined

Answer: D.

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Q 5M.C.Q (1 Marks)1 Mark

The value of ${i^{1 + 3 + 5 + ... + (2n + 1)}}$ is

A
$i$ if $n$ is even, $-i$ if $n$ is odd
B
$1$ if $n$ is even, $-1$ if $n$ is odd
✓
$1$ if $n$ is odd, $-1$ if $n$ is even
D
$i$ if $n$ is even,$ -1$ if $n$ is odd

Answer: C.

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