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} $ .