Class 11Mathematics2 Complex Numbers and Quadratic Equations: Quadratic EquationsRelation between roots and coefficients
EasyIf one of the roots of the equation $x^2 + ax + 3 = 0$ is $3$,and one of the roots of the equation $x^2 + ax + b = 0$ is three times the other root,then the value of $b$ is equal to
- A$3$
- B$4$
- C$2$
- D$1$
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Let $p$ and $q$ be two positive numbers such that $p + q = 2$ and $p^{4} + q^{4} = 272$. Then $p$ and $q$ are roots of the equation:
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View SolutionIf the sum of the squares of the reciprocals of the roots $\alpha$ and $\beta$ of the equation $3x^{2} + \lambda x - 1 = 0$ is $15$,then $6(\alpha^{3} + \beta^{3})^{2}$ is equal to
DifficultJEE MAIN 2022
View SolutionIf $p$ and $q$ are the roots of the equation $x^{2}+px+q=0$, then:
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