Mathematics

Eleven Standard

Test your understanding of this lesson Conjugate of a complex number and its properties:-

1)
The conjugate of -1+3i is
  • 1-3i
  • -1-3i
  • 1-3i
  • 1+3i
2)
The conjugate of \(\frac{2-i}{(1-2i)^{2}}\) is
  • \(\frac{2}{25}+\frac{11}{25}i\)
  • \(\frac{2}{25}-\frac{11}{25}i\)
  • \(-\frac{2}{25}+\frac{11}{25}i\)
  • \(-\frac{2}{25}-\frac{11}{25}i\)
3)
The conjugate of a complex number is \(\frac{1}{i-1}\), then the complex number is
  • \(\frac{-1}{i-1}\)
  • \(\frac{1}{i+1}\)
  • \(\frac{-1}{i+1}\)
  • \(\frac{1}{i-1}\)
4)
The complex number \(\sin x+i\cos 2x\) and \(\cos x+i\sin 2x\) conjugate to each other for
  • x=n\(\pi\)
  • x=0
  • \(x=\big(n+\frac{1}{2}\big)\pi\)
  • no value of x
5)
Conjugate of \(\Big(\frac{1}{3}+3i\Big)^{3}\) is
  • \(\frac{242}{27}-26i\)
  • \(-\frac{242}{27}-26i\)
  • \(-\frac{242}{27}+26i\)
  • \(\frac{242}{27}+26i\)

You may like this videos

All rights reserved © 2025 tubelessons.net

Hide

Forgot your password?

Close

Error message here!

Hide

Lost your password? Please enter your email address. You will receive a link to create a new password.

Back to log-in

Close