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Engineering Mathematics Miscellaneous

Engineering Mathematics

  1. The modulus of the complex number3 + 4iis
    1 - 2i
    1. 5
    2. 5
    3. 1 / √5
    4. 1 / 5
Correct Option: B

Given : z =
3 + 4i
1 - 2i

Rationalizing the denominator, we get
z =
3+4i
×
1+2i
1-2i1+2i

=
3 + 6i + 4i - 8
5

=
10i - 5
= 2i - 1
5

∴ Modulus of |z| = |2i - 1| √2² + (-1)² = √5



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