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Questions  >>  EAMCET  >>  Mathematics
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Q)

Let $\alpha$ and $\beta$ be the roots of the quadratic equation $ax^2+bx+c=0$. Observe the lists given below:

  List I List II

(i)

(ii)

(iii)

(iv)

 

$\alpha = \beta=>$

$\alpha = 2 \beta=>$

$\alpha = 3\beta=>$

$\alpha = \beta^2=>$

 

$(A)\; (ac^2)^{1/3}+(a^2c)^{1/3}+b=0$

$(B)\;2b^2=9ac$

$(C)\;b^2=6ac$

$(D)\;3b^2=16ac$

$(E)\;b^2=4ac$

$(ac^2)1/3+(a^2c)^{1/3}=b$

The correct match of List-I from List - II is 

        (i)      (ii)     (iii)     (iv)

(1)    E       B       D        F

(2)    E       B       A        D

(3)    E       D       B        F

(4)    E       B       D        A

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