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4-1.Complex numbers
easy
$\left( {\frac{{3 + 2i}}{{3 - 2i}}} \right)$ નો માનાંક મેળવો.
A
$1$
B
$1/2$
C
$2$
D
$\sqrt 2 $
Solution
(a)$\left( {\frac{{3 + 2i}}{{3 – 2i}}} \right) = \left( {\frac{{3 + 2i}}{{3 – 2i}}} \right)\left( {\frac{{3 + 2i}}{{3 + 2i}}} \right)$$ = \frac{{9 – 4 + 12i}}{{13}} = \frac{5}{{13}} + i\left( {\frac{{12}}{{13}}} \right)$
Modulus =$\sqrt {{{\left( {\frac{5}{{13}}} \right)}^2} + {{\left( {\frac{{12}}{{13}}} \right)}^2} = 1} $.
Standard 11
Mathematics
