NDA2012MathematicsQuadratic EquationActual
If the roots of a quadratic equation are m+n and m-n , then the quadratic equation will be :
Options
- Ax^2+2 m x+m^2-m n+n^2=0
- Bx^2+2 m x+(m-n)^2=0
- Cx^2-2 m x+m^2-n^2=0
- Dx^2+2 m x+m^2-n^2=0
Correct answer
C. x^2-2 m x+m^2-n^2=0
Step-by-step solution
Roots are m+n and m-n Sum of roots =m+n+m-n=2 m Product of roots =(m+n)(m-n)=m^2-n^2x^2-( Sum of roots ) x+ Product of roots =0x^2-2 m x+m^2-n^2=0