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

If \(|z_1| = 2, |z_2| = 3, |z_3| = 4\) and \(|2z_1 + 3z_2 + 4z_3| = 4\), then absolute value of \(8z_2z_3 + 27z_3z_1 + 64z_1z_2\) equals
If \( |z_1| = 2 \), \( |z_2| = 3 \), \( |z_3| = 4 \) and \( |2z_1 + 3z_2 + 4z_3| = 4 \), then absolute value of \( 8z_2 z_3 + 27z_3 z_1 + 64z_1 z_2 \) equals
If α and β are roots of the equation x²+px+(3p)/(4)=0, such that |α-β|=√(10), then p belongs to the set
If \( \omega \) is the complex cube root of unity, then the value of
\( \omega + \omega \left( \dfrac{1}{2} + \dfrac{3}{8} + \dfrac{9}{32} + \dfrac{27}{128} + \cdots \right) \) is
The root of the equation 2(1+i)x²-4(2-i)x-5-3i=0 which has greater modulus is
If α and β are roots of the equation x²+px+(3p)/(4)=0, such that |α-β|=√(10), then p belongs to the set
If \(\omega\) is the complex cube root of unity, then the value of \[ \omega+\omega\!\left(\frac12+\frac38+\frac{9}{32}+\frac{27}{128}+\cdots\right) \] is
The root of the equation \[ 2(1+i)x^2-4(2-i)x-5-3i=0 \] which has greater modulus is
If \( \alpha \) and \( \beta \) are the roots of \( x^2 - x + 1 = 0 \), then the equation whose roots are \( \alpha^{100} \) and \( \beta^{100} \) is
If α, β are the roots of the equation ax² + bx + c = 0, then the roots of the equation ax² + bx(x+1) + c(x+1)² = 0 are:
The roots of the equation x²-2√(2)x+1=0 are