Home
Class 11
MATHS
Consider the complex number z1 = 3+i and...

Consider the complex number `z_1 = 3+i` and `z_2 = 1+i` .Find `1/z_2`

Text Solution

Verified by Experts

The correct Answer is:
`1/2-1/2i`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |106 Videos
  • CONIC SECTION

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|90 Videos

Similar Questions

Explore conceptually related problems

Consider the complex number z_1 = 2 - i and z_2 = -2 + i Find (z_1z_2)/z_1 . Hence, find abs((z_1z_2)/z_1)

Consider the complex number z_1 = 2 - i and z_2 = 2 + i Find 1/(z_1z_2) . Hence, prove than I_m(1/(z_1z_2)) = 0

Consider the complex number z_1 = 3+i and z_2 = 1+i .Using the value of 1/z_2 , find (z_1)/z_2

Consider the complex number z_1 = 3+i and z_2 = 1+i .What is the conjugate of z_2 ?

Consider the complex number z_1 = 2 - i and z_1 = -2 + i Raju prove that abs((z_1z_2)/z_1) = absz_2 and using it he derived the value of abs((z_1z_2)/z_1) . Write the steps written by Raju.

Suppose z_1 = 1 - i and z_2 = -2 + 4i Find z_1z_2

Suppose z_1 = 1 - i and z_2 = -2 + 4i Find overlinez_1

Consider the complex number z=3+4i . Write the conjugate of z.

Consider the complex number z=(5-sqrt3i)/(4+2sqrt3i)

If two points P and Q are represented by the complex numbers z_1 and z_2 prove that PQ = abs(z_1 - z_2)