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Question

If one root of the quadratic equation ax2+bx+c=0 is the reciprocal of the other, then

A
b=c
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B
a=b
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C
ac=1
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D
a=c
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Solution

The correct option is D a=c
Given quadratic equation is ax2+bx+c=0
Let α and β be the roots of the equation.
It is given that α=1β
Now, αβ=ca
ca=1
Hence, c=a

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