Home
Class 11
MATHS
Express each of the following in the for...

Express each of the following in the form (a + ib) and find its multiplicative inverse :
(i) `(1+2i)/(1-3i)`
(ii) `((1+7i))/((2-i)^(2))`
(iii) `(-4)/((1+i sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
(i) `z=((-1)/(2)+(1)/(2)i)","z^(-1)=(-1-i)`
(ii) `z=(-1+i)","z^(-1)=((-1)/(2)-(1)/(2)i)`
(iii) `z=(-1+i sqrt(3))","z^(-1)=((-1)/(4)-(sqrt(3))/(4)i)`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 5 D|24 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 5 E|21 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 5 B|28 Videos

  • COMBINATIONS

    RS AGGARWAL|Exercise Exercise 9D|18 Videos

  • CONDITIONAL IDENTITIES INVOLVING THE ANGLES OF A TRIANGLE

    RS AGGARWAL|Exercise EXERCISE 16|12 Videos

Similar Questions

Explore conceptually related problems

Express each of the following in the form a+ib:(1-i)-(-1+6i)

Express each of the following in the form a+ib:3(7+7i)+i(7+7i)

Express the following in the form a +ib:(2-i)/(4+3i)

Express each of the following in the form a+ib:((1)/(3)+3i)^(3)

Express the following in the form a +ib:(3+2i)(3-2i)

Express the following in the form a +ib:(6+3i)/(2-i)

Express each of the following in the form a+ib:(-2-(1)/(3)i)^(3)

Find the multiplicative inverse of (i) -(1)/(8)" " (ii) 3(1)/(3)

Express the following in the form of a+ib (1+i)/(2+3i)

Express the following in the form a +ib: ((1)/(2)+i2)^(3)