Q.
If $p$ and $q$ be positive, then the coefficients of $x^{p}$ and $x^{q}$ in the expansion of ${(1 + x)}^{p + q}$ will be
A) Equal
B) Equal in magnitude but opposite in sign
C) Reciprocal to each other
D) None of the above
Explanation
(a)
$\because$Coefficient of $x^{p}$is $\ ^{p + q}C_{p}$ and coefficient of $x^{q}$ is $\ ^{(p + q)}C_{q}$
$\therefore$ Both the coefficients are equal
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.