If z^2+αz+β=0 (α, β are complex numbers) has a real root then prove that (α̅-α)(αβ̅-α̅β)=(...

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\( z^{2}+\alpha z+\beta=0(\alpha, \beta \) are complex numbers) has a real root, then (A) \( (\a...

If alpha and beta are roots of 2z^2-3z-2i=0 then 16Re(JEE Main|Session 2|2025|Complex|CLASS 11|PYQ

Let α,β be real and z be a complex number. If z2+αz+β=0 has two distinct roots on the line Re(z)=1,

Let α, β be real and z be a complex number. If z^2+αz+β=0 has two distinct roots on the line Re z=1

Let alpha,beta\nbe real and z be a complex number. If z^2+alphaz+beta=0\nhas two distinct roots ...

If α and β are the roots of the equation 2z^2 - 3z - 2i = 0 ,where i= √(-1) , then 16 Re ((α^19+β^19

Let `alpha and beta` be real numbers and z be a complex number. If `z^(2)+alphaz+

Complex Numbers Formulas -1