List of top Mathematics Questions on Partial Fractions asked in AP ECET Metallurgical Eng, AP ECET ECE

If \[ \frac{(x+1)^2}{x^3+x} = \frac{A}{x} + \frac{Bx+C}{x^2+1}, \] then \[ \sin^{-1}\!\left(\frac{A}{C}\right)=\_ \] 

If $\frac{42-19x}{(x^{2}+1)(x-4)}=\frac{Ax+B}{x^{2}+1}+\frac{C}{x-4}$ then $B =$
If $\frac{3x}{x^2+x-2} = \frac{A}{x+2} + \frac{B}{x-1}$, then the ordered pair $(A, B)$ is
If $\deg f(x) \geq \deg g(x)$, then the rational fraction $\frac{f(x)}{g(x)}$ is called