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4.1 complex nubers MATHS - 4.1 complex nubers

Gujarat Board (GSEB) - STD 11 Science - MATHS (GSEB - English Medium). 646 questions in this chapter.

Question types

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
Sample Questions

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 1MCQ1 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 3MCQ1 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 4MCQ1 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 5MCQ1 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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