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Find the condition that one of the roots...

Find the condition that one of the roots of `ax^(2) + bx + c ` may be
(iii)reciprocal of the other.

Text Solution

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The correct Answer is:
c
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Knowledge Check

  • The condition that one root of the equation ax^(2)+bx+c=0 may be square of the other is

    A
    `a^(2)c+ac^(2)+b^(3)-3abc=0`
    B
    `a^(2)c^(2)+ac^(2)+b^(2)+3abc=0`
    C
    `ac^(2)+ac-b^(3)-3abc=0`
    D
    `a^(2)c+ac^(2)-b^(3)-3abc=0`
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