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Chapter 13: Complex Numbers – Exercise 13.3

Complex Numbers – Exercise 13.3 – Q.1(i)

Let z = – 5 + 12i

Complex Numbers – Exercise 13.3 – Q.1(i)

 

Complex Numbers – Exercise 13.3 – Q.1(ii)

Let z = – 7 – 24i

Complex Numbers – Exercise 13.3 – Q.1(ii)

 

Complex Numbers – Exercise 13.3 – Q.1(iii)

Let z = 1 – i

Complex Numbers – Exercise 13.3 – Q.1(iii)

 

Complex Numbers – Exercise 13.3 – Q.1(iv)

Let z = – 8 – 6i

Complex Numbers – Exercise 13.3 – Q.1(iv)

 

Complex Numbers – Exercise 13.3 – Q.1(v)

Let z = 8 – 15i

Complex Numbers – Exercise 13.3 – Q.1(v)

 

Complex Numbers – Exercise 13.3 – Q.1(vi)

Complex Numbers – Exercise 13.3 – Q.1(vi)

 

Complex Numbers – Exercise 13.3 – Q.1(vii)

Complex Numbers – Exercise 13.3 – Q.1(vii)

 

Complex Numbers – Exercise 13.3 – Q.1(viii)

Let z = 4i

then |z| = |4i|

= 4|i|     (∵ |z1 z2 | = |z1 |×|z2|)  

= 4        (∵ | i | = 1)

Complex Numbers – Exercise 13.3 – Q.1(viii)

 

Complex Numbers – Exercise 13.3 – Q.1(ix)

Let z = – i

then |z| = | – i |

= | – 1| × |i|         (∵ |z1 z2 | = |z1| × |z2|) 

= 1 × i                  (∵ | i | = 1)

Complex Numbers – Exercise 13.3 – Q.1(ix)

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