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Quadratic Equation and Inequalities question

2022 · 28 Jul · Shift 2 · Q22

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2022 · 28 Jul · Shift 2 · Q22

Quadratic Equation and Inequalities question

2022 · 28 Jul · Shift 2 · Q22

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\alpha

,

\beta

be the roots of the equation

x^{2}-\sqrt{2} x+\sqrt{6}=0

and

\frac{1}{\alpha^{2}}+1, \frac{1}{\beta^{2}}+1

be the roots of the equation

x^{2}+a x+b=0

. Then the roots of the equation

x^{2}-(a+b-2) x+(a+b+2)=0

are :

A
non-real complex numbers
B
real and both negative
C
real and both positive
D
real and exactly one of them is positive

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