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NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions

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Question : 7
Total: 52
[(
1
3
+i
7
3
)+(4+i
1
3
)]−(−
4
3
+i)
Solution:  
[(
1
3
+i
7
3
)+(4+i
1
3
)]−(−
4
3
+i)
= [(
1
3
+4)+i(
7
3
+
1
3
)] - (−
4
3
+i) = (
1+12
3
)+i(
7+1
3
) +
4
3
 - i
=
13
3
+i
8
3
+
4
3
−i =
13
3
+
4
3
+i(
8
3
−1) =
13+4
3
+i(
8−3
3
)
=
17
3
+
5
3
i
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