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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2010 · Mathematics · Quadratic Equation

If α, β are the roots of the quadratic equation x^2-x+1=0 , then...

If α,β\alpha, \beta are the roots of the quadratic equation x2−x+1=0x^2-x+1=0, then which one of the following is correct?

Options

  1. A(α4−β4)\left(\alpha^4-\beta^4\right) is real
  2. B2(α5+β5)=(αβ)52\left(\alpha^5+\beta^5\right)=(\alpha \beta)^5
  3. C(α6−β6)=(αβ)5\left(\alpha^6-\beta^6\right)=(\alpha \beta)^5
  4. D(α8+β8)=(αβ)8\left(\alpha^8+\beta^8\right)=(\alpha \beta)^8

Correct answer

A. (α4−β4)\left(\alpha^4-\beta^4\right) is real

Step-by-step solution

The correct answer is option (A).
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