Question

# If one root of the quadratic equation $$ax^2+bx+c=0$$ is the reciprocal of the other, then

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

Solution

## The correct option is D $$a = c$$Given quadratic equation is $$ax^2+bx+c=0$$Let $$\alpha$$ and $$\beta$$ be the roots of the equation.It is given that $$\alpha=\dfrac{1}{\beta}$$Now, $$\alpha\beta =\dfrac ca$$$$\therefore \dfrac ca=1$$Hence, $$c=a$$Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More