NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.1 are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.1.
- Complex Numbers and Quadratic Equations Class 11 Ex 5.2
- Complex Numbers and Quadratic Equations Class 11 Ex 5.3
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 11 |
| Subject | Maths |
| Chapter | Chapter 5 |
| Chapter Name | Complex Numbers and Quadratic Equations |
| Exercise | Ex 5.1 |
| Number of Questions Solved | 14 |
| Category | NCERT Solutions |
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.1
Express each of the complex number given in the Exercises 1 to 10 in the form a + ib.
Question 1.
Solution.
= -3i2 = -3(-1) [∵ i2 = -1]
= 3 = 3 + 0i
Question 2.
i9+ i19
Solution.
Question 3.
i-39
Solution.
Question 4.
3(7 + i7) + i(7 + i7)
Solution.
3(7 + i7) + i(7 + i7) = 21 + 21i + 7i + 7i2
= 21 + (21 + 7)i + (-1)7 = 21 – 7 + 28i
= 14 + 28i.
Question 5.
(1 – i) – (- 1 +i6)
Solution.
(1 – i) – (-1 + i6) = 1 – i + 1 – 6i
= (1 +1) – i(1 + 6)
= 2 – 7i
Question 6.
Solution.
Question 7.
Solution.
![\left[ \left( \frac { 1 }{ 3 } +i\frac { 7 }{ 3 } \right) +\left( 4+i\frac { 1 }{ 3 } \right) \right] -\left( -\frac { 4 }{ 3 } +i \right)](http://s0.wp.com/latex.php?latex=%5Cleft%5B+%5Cleft%28+%5Cfrac+%7B+1+%7D%7B+3+%7D+%2Bi%5Cfrac+%7B+7+%7D%7B+3+%7D+%5Cright%29+%2B%5Cleft%28+4%2Bi%5Cfrac+%7B+1+%7D%7B+3+%7D+%5Cright%29+%5Cright%5D+-%5Cleft%28+-%5Cfrac+%7B+4+%7D%7B+3+%7D+%2Bi+%5Cright%29+&bg=ffffff&fg=000&s=0 "\left[ \left( \frac { 1 }{ 3 } +i\frac { 7 }{ 3 } \right) +\left( 4+i\frac { 1 }{ 3 } \right) \right] -\left( -\frac { 4 }{ 3 } +i \right)")
Question 8.
(1 -i)4
Solution.
(1 -i)4 = [(1 – i)2]2 = [1 – 2i + i2]2
= [1 – 2i + (-1)]2
= (-2i)2 = 4i2 = 4(-1) = – 4
= – 4 + 0i
Question 9.
Solution.
Question 10.
Solution.
Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13.
Question 11.
4 – 3i
Solution.
Question 12.
Solution.
Question 13.
-i
Solution.
Question 14.
Express the following expression in the form of a + ib:
Solution.
We have,
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