Question

# If one of the roots of the equation ax2+bx+c=0 is reciprocal of the other, then choose the correct option.

A

c=a

B

c=a2

C

c=2a

D

a=c2

Solution

## The correct option is A c=a Let’s assume one of the roots is α. If the roots are reciprocal of each other, the other root will be 1α Observe that the product of both the roots is 1 i.e. α×1α=1 The formula for product of the roots of the quadratic equation is ca. ⇒ca=1 ⇒c=a Hence the correct option is c = a . Mathematics

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