Complex Numbers And Quadratic Equations question 46

Question: The conjugate of the complex number $ \frac{2+5i}{4-3i} $ is [MP PET 1994]

Options:

A) $ \frac{7-26i}{25} $

B) $ \frac{-7-26i}{25} $

C) $ \frac{-7+26i}{25} $

D) $ \frac{7+26i}{25} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{2+5i}{4-3i}=\frac{(2+5i)(4+3i)}{25}=\frac{-7+26i}{25} $ . Therefore conjugate of the complex number is $ \frac{-7-26i}{25} $ .