NDA2013MathematicsQuadratic EquationActual
If the roots of a quadratic equation a x^2+b x+c=0 are and , then the quadratic equation having roots ^2 and ^2 is
Options
- Ax^2- (b^2-2 a c ) x+c=0
- Ba^2 x^2- (b^2-2 a c ) x+c=0
- Ca x^2- (b^2-2 a c ) x+c^2=0
- Da^2 x^2- (b^2-2 a c ) x+c^2=0
Correct answer
D. a^2 x^2- (b^2-2 a c ) x+c^2=0
Step-by-step solution
Required equation is x^2-x ( ^2+ ^2 )+( )^2=0x^2-x [( + )^2-2 ]+( )^2=0 aligned & x^2-x ( b^2 a^2 - 2 c a )+ c^2 a^2 =0 & a^2 x^2-x (b^2-2 a c )+c^2=0 aligned