Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2023MathematicsComplex NumberActual

Consider equation-I: z^3+2 z^2+2 z+1=0 and equation -II: z¹⁹⁸⁵+z¹⁰⁰+1=0 What is the number of common roots of equation-I and equation-II?

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

Since, the common roots of equation-I and equation-II are , ^2 Number of common roots =2

Practice Complex Number on Quantrex Academy →

More from Complex Number

Consider the following inequalities : I. 1+4i>3+2i II. 2+3i III. 4+3i>3+4i where i= -1 How many of the above are valid ? 2026If p , q , r are the cube roots of unity, then what is vmatrix p^2+q^2 & r^2 & r^2 p^2 & q^2+r^2 & p^2 q^2 & q^2 & r^2+p^2 vmatrix equal to ? 2026If , , are cube roots of -8 , then what is ^2 p^2+ ^2 q^2+ ^2 r^2 ^2 p^2+ ^2 q^2+ ^2 r^2 equal to ? 2026Let Z₁ and Z₂ be complex numbers such that 3Z₁ 4Z₂ is purely imaginary. What is | Z₁+Z₂ Z₁-Z₂ | equal to ? 2026If is a non-real cube root of unity, then what is a root of the following equation? vmatrix x+1 & & ^2 & x+ ^2 & 1 ^2 & 1 & x+ vmatrix = 0 2025If x + 1 x = 2 , then what is x^3 + 1 x^3 equal to? 2025If z 0 is a complex number, then what is amp (z) + amp ( z ) equal to? 2025If = -1 + -3 2 , then what is the value of (1 + ¹⁹ - ³⁵)¹⁰⁰ - (1 - 3 ²⁵ + ³⁸)⁵⁰ ? 2025 Full Complex Number list All NDA PYQs