Question

In the following question, two statements (i) and (ii) are given. Choose the valid statement.

1. If α and β are the roots of the equation ax² + bx + c = 0, a ≠ 0 then α + β = `-b/a.`
2. The equation ax² + bx + c = 0 is quadratic for all real values of a, b, c.

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Only (i)

Explanation:

Statement (i) is true because for the quadratic equation ax² + bx + c = 0, a ≠ 0, the sum of the roots is given by `alpha + beta = -b/a`

Statement (ii) is false because the equation is quadratic only when a ≠ 0. If a = 0, it becomes a linear equation.