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Chapter: 12th Mathematics : UNIT 2 : Complex Numbers

Exercise 2.4: Conjugate of a Complex Number

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EXERCISE 2.4

 

1. Write the following in the rectangular form:




2. If iy , find the following in rectangular form.




3. If = 2 - and z2 = -4 + 3, find the inverse of z1z2 and z1 /z1



4. The complex numbers u, and are related by 

If = 3 - 4and = 4 + 3, find in rectangular form.



5. Prove the following properties:

(i) z is real if and only if z = 

(ii) 



6. Find the least value of the positive integer for which (√3+i)n

(i) real (ii) purely imaginary



7. Show that (i) (2+i√3)10 - (2-i√3)10 is  purely imaginary

  is real.




Answers:


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12th Mathematics : UNIT 2 : Complex Numbers : Exercise 2.4: Conjugate of a Complex Number | Problem Questions with Answer, Solution

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12th Mathematics : UNIT 2 : Complex Numbers


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