NDA2023MathematicsQuadratic EquationActual
and are distinct real roots of the quadratic equation x ^2+ ax + b =0 . Which of the following statements is/are sufficient to find ? 1. + =0, ^2+ ^2=2 2. ^2=-1, a=0 Select the correct answer using the code given below:
Options
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Correct answer
C. Both 1 and 2
Step-by-step solution
x^2+a x+b=0 (i) + =0 =- ^2+ ^2=2( + )^2-2 =20-2 =2 =-1 (- )=-1 ^2=1 (ii) ^2=-1a=0 + =0 =- (- )^2=-1 ^3=-1 =-1 Both 1 and 2 are sufficient.