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Engineering Mathematics
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Engineering Mathematics Miscellaneous
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Engineering Mathematics Miscellaneous
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Engineering Mathematics
Engineering Mathematics Miscellaneous
The modulus of the complex number
3 + 4i
is
1 - 2i
5
√
5
1 / √
5
1 / 5
Correct Option:
B
Given : z =
3 + 4i
1 - 2i
Rationalizing the denominator, we get
z =
3+4i
×
1+2i
1-2i
1+2i
=
3 + 6i + 4i - 8
5
=
10i - 5
= 2i - 1
5
∴ Modulus of |z| = |2i - 1| √
2² + (-1)²
= √
5
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