Question

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

Options

• a = b

• b = c

• c = a

• none of these

Answer 1

c = a

Explanation:

Let the roots of the equation (ax² + bx + c = 0) be a and `1/a`. 

∴ Product of the roots = `a xx 1/a = 1` 

⇒ `c/a = 1` 

⇒ c = a