Home
Class 11
MATHS
Consider the equation 10 z^2-3i z-k=0,w ...

Consider the equation `10 z^2-3i z-k=0,w h e r ez` is a following complex variable and `i^2=-1.` Which of the following statements ils true? For real complex numbers `k` , both roots are purely imaginary. For all complex numbers `k` , neither both roots is real. For all purely imaginary numbers `k` , both roots are real and irrational. For real negative numbers `k` , both roots are purely imaginary.

Promotional Banner

Similar Questions

Explore conceptually related problems

Find all complex numbers z for which (z-2)/(z+2) is purely imaginary.

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

Write the real and imaginary parts of the complex number: 2-i sqrt(2)

If z is a normal complex for which |z| = 1 , prove that frac (z-1)(z+1) is a purely imaginary number.

Write the real and imaginary parts of the following complex numbers 2-i sqrt(2)

If z is a purely real complex number such that "Re"(z) lt 0 , then, arg(z) is equal to

If z is a unimodular number (!=+-i) then (z+i)/(z-i) is (A) purely real (B) purely imaginary (C) an imaginary number which is not purely imaginary (D) both purely real and purely imaginary

The quadratic equation p(x)=0 with real coefficients has purely imaginary roots.Then the equation p(p(x))=0 has A.only purely imaginary roots B.all real roots C.two real and purely imaginary roots D.neither real nor purely imaginary roots

Given z is a complex number with modulus 1. Then the equation [(1+ia)/(1-ia)]^(4)=z has all roots real and distinct two real and two imaginary three roots two real and two real and three imaginary

If a , b are complex numbers and one of the roots of the equation x^(2)+ax+b=0 is purely real whereas the other is purely imaginery, and a^(2)-bara^(2)=kb , then k is