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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2012 · Mathematics · Quadratic Equation

If the roots of a quadratic equation are m+n and m-n , then the...

If the roots of a quadratic equation are m+nm+n and m−nm-n, then the quadratic equation will be :

Options

  1. Ax2+2mx+m2−mn+n2=0x^2+2 m x+m^2-m n+n^2=0
  2. Bx2+2mx+(m−n)2=0x^2+2 m x+(m-n)^2=0
  3. Cx2−2mx+m2−n2=0x^2-2 m x+m^2-n^2=0
  4. Dx2+2mx+m2−n2=0x^2+2 m x+m^2-n^2=0

Correct answer

C. x2−2mx+m2−n2=0x^2-2 m x+m^2-n^2=0

Step-by-step solution

∵\because Roots are m+nm+n and m−nm-n Sum of roots =m+n+m−n=2m=m+n+m-n=2 m Product of roots =(m+n)(m−n)=m2−n2x2−(=(m+n)(m-n)=m^2-n^2x^2-( Sum of roots )x+) x+ Product of roots =0x2−2mx+m2−n2=0=0x^2-2 m x+m^2-n^2=0
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