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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Determinants

NDA 2023 · Mathematics · Determinants

[QUESTION] Paragraph: If Δ(7,4,2, α)=0 , then α is a root of which...

[QUESTION] Paragraph: If Δ(7,4,2,α)=0\Delta(7,4,2, \alpha)=0, then α\alpha is a root of which one of the following equation?

Options

  1. A7x2+4x+2=07 x^2+4 x+2=0
  2. B7x2−4x+2=07 x^2-4 x+2=0
  3. C7x2+8x+2=07 x^2+8 x+2=0
  4. D7x2−8x+2=07 x^2-8 x+2=0

Correct answer

C. 7x2+8x+2=07 x^2+8 x+2=0

Step-by-step solution

Δ(7,4,2,α)=0a=7,b=4,c=2aα2+2bα+c=07α2+8α+2=0∴α\Delta(7,4,2, \alpha)=0a=7, b=4, c=2a \alpha^2+2 b \alpha+c=07 \alpha^2+8 \alpha+2=0\therefore \quad \alpha is a root of 7x2+8x+2=07 x^2+8 x+2=0
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