List of top Mathematics Questions asked in AIEEE

r and n are positive integers $r > 1, n > 2$ and coefficient of $(r+2)^{th}$ term and $3r^{th}$ term in the expansion of $(1 + x)^{2n }$ are equal, then n equals

The coefficients of $x^p$ and $x^q$ (p and q are positive integers) in the expansion of $(1+ x )^{p+q}$ are

If $a, b, c$ are distinct +ve real numbers and $a^2 + b^2 + c^2 = 1$ then $ab + bc + ca$ is

$\displaystyle\lim_{x \to 0} \frac{ \sqrt{1 -\cos \, 2x}}{\sqrt{2} x}$ is

A biased coin with probability p, $0

Let z and w be two complex numbers such that $|z| \le 1, |w | \le 1$ and $|z + i w |= | z - \overline {iw}| = 2$ , then z equals

If $z_1$ and $z_2$ are two non-zero complex numbers such that $| z_1+ z_2| = | z_1| + | z_2|$ , then $arg (z_1 ) - arg (z_2)$ is equal to