6. If 1 a and 1 b are the roots of the equation, ax2 + bx + 1 = 0 (a ¹ 0, a, b, Î R), then the equation, ( ) ( ) 3 3 x x b a 3abx 0 ++- = as roots :
Question:
If $\frac{1}{\sqrt{\alpha}}$ and $\frac{1}{\sqrt{\beta}}$ are the roots of the equation, $a x^{2}+b x+1=0(a \neq 0, a, b, \in R)$, then the equation, $x\left(x+b^{3}\right)+\left(a^{3}-3 a b x\right)=0$ as roots :
$\alpha^{3 / 2}$ and $\beta^{3 / 2}$
$\alpha \beta^{1 / 2}$ and $\alpha^{1 / 2} \beta$
$\sqrt{\alpha \beta}$ and $\alpha \beta$
$\alpha^{-\frac{3}{2}}$ and $\beta^{-\frac{3}{2}}$
Correct Option: 1
JEE Main Previous Year1 Question of JEE Main from MathematicsComplex Numbers and Quadratic Equations chapter.
