List of top Mathematics Questions on Vector Algebra asked in AP ECET Agricultural Engg, AP ECET Chemical Engg

The conjugate of $(1+i)^3$ is:

If $z_1 = 4i^{40} - 5i^{35} + 6i^{17} + 2$ and $z_2 = -1 + i$, then $|z_1 + z_2| =$

If $\frac{x}{(x-1)^{2}(x+2)}=\frac{A}{(x-1)^{2}}+\frac{B}{9(x-1)}+\frac{C}{(x+2)}$ then $A+B=$

If $\frac{x+4}{(x+2)^{2}(x+3)}=\frac{A}{(x+2)^{2}}+\frac{B}{(x+2)}+\frac{C}{(x+3)}$ then $A+B+C=$

Modulus of the complex number \[ \frac{(1+i)^{10}}{(2i-4)^4} \] is equal to

The real part of \[ \frac{1+2i}{(2-i)^2} \] is

If \[ \frac{3x-1}{(x-1)(x-2)(x-3)} = \frac{A}{x-1}+\frac{B}{x-2}+\frac{C}{x-3}, \] then the values of \((A,B,C)\) are

If \[ \frac{2x+5}{(x-1)(x+3)} = \frac{A}{x-1}+\frac{B}{x+3}, \] then \(A+B=\)