Search any question & find its solution
Question:
Answered & Verified by Expert
If $-3+i x^2 y$ and $x^2+y+4 i$ are complex conjugates, then $\mathrm{x}=$
Options:
Solution:
1979 Upvotes
Verified Answer
The correct answer is:
$\pm 1$
$\because-3+\mathrm{ix}^2 \mathrm{y}$ and $\left(\mathrm{x}^2+\mathrm{y}+4 \mathrm{i}\right)$ are complex conjugate.
Then, $-3-i x^2 y=x^2+y+4 i$
Comparing both sides we get:-
$$
\begin{aligned}
& x^2+y=-3 ......(i)\\
& -x^2 y=4.......(ii)
\end{aligned}
$$
Solving eqs. (i) \& (ii), we get
$$
x= \pm 1
$$
Then, $-3-i x^2 y=x^2+y+4 i$
Comparing both sides we get:-
$$
\begin{aligned}
& x^2+y=-3 ......(i)\\
& -x^2 y=4.......(ii)
\end{aligned}
$$
Solving eqs. (i) \& (ii), we get
$$
x= \pm 1
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.