List of top Mathematics Questions on Complex Numbers and Quadratic Equations asked in SRMJEEE

If the sum of first n positive integer is 1/(5) times the sume of their squares, then n equals

The equation of the normal to the ellipse \(\frac{x^2}{10}+\frac{y^2}{5}=1\) at \((\sqrt8,1)\) is

If every pair from among the equations x²+px+qr=0, x²+qx+rp=0 and x²+rx+pq=0 has a common root then the product of three common roots is

If z and \(\omega\) are non-zero complex numbers such that \(|z\omega|=1\) and \(arg(z)-arg(\omega)=\frac{\pi}{2}\), then \(\bar{z}\omega\) is equal to

The common roots of the equations \(x^3+2x^2+2x+1=0\) and \(1+x^{2002}+x^{2003}=0\) are (where \(\omega\) is a complex cube root of unity)