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Question

If the roots of the equation  $$ \displaystyle ax^{2}+bx+c=0  $$   are reciprocal of each other , then 


A
a=b
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B
a=c
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C
b=c
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D
a=0
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Solution

The correct option is C a=c
Let the roots are a, $$\displaystyle \dfrac{1}{a} $$
 a.$$\displaystyle \dfrac{1}{a} =\dfrac{c}{a} $$
or 1=$$\displaystyle \dfrac{c}{a} $$   or c=a 

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