The roots of the equation ax2 + bx + c = 0 will be reciprocal of each other if
Let the roots of equation be 
Product of roots = 
Product of the roots 
Hence c = a
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The roots of the equation ax2 + bx + c = 0 will be reciprocal of each other if
Let the roots of equation be
Product of roots =
Product of the roots
Hence c = a