If z 1 , z 2 , z 3 , z 4 are roots of the equation a 0 z 4 + a 1 z 3 + a 2 z 2 + a 3 z +…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If z1, z2, z3, z4 are roots of the equation
a0z4 + a1z3 + a2z2 + a3z + a4 = 0,
where a0, a1, a2, a3 and a4 are real, then
a0z4 + a1z3 + a2z2 + a3z + a4 = 0,
where a0, a1, a2, a3 and a4 are real, then
- \(\overline{\mathrm{z}}_{1}, \overline{\mathrm{z}}_{2}, \overline{\mathrm{z}}_{3}, \overline{\mathrm{z}}_{4}\) are also roots of the equation
- z1 is equal to at least one of \(\overline{\mathrm{z}}_{1}, \overline{\mathrm{z}}_{2}, \overline{\mathrm{z}}_{3}, \overline{\mathrm{z}}_{4}\)
- \(-\bar{z}_{1},-\bar{z}_{2},-\bar{z}_{3},-\bar{z}_{4}\) are also roots of the equation
- None of the above
Answer
(A) z _ 1 , z _ 2 , z _ 3 , z _ 4 are also roots of the equation, (B) z 1 is equal to at least one of z _ 1 , z _ 2 , z _ 3 , z _ 4
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