Question

The sum of the slopes of the lines represented by 5x² + 2xy - 3y² = 0 is ______ 

Options

• `(-2)/3`

• -2

• `2/5`

• `2/3`

Answer 1

The sum of the slopes of the lines represented by 5x² + 2xy - 3y² = 0 is `underline(2/3)`.

Explanation:

Comparing the given equation with

 ax² + 2hxy + by² = 0, we get

a = 5, h = 1 and b = -3 

∴ `m_1 + m_2 = (-2h)/b = (-2(1))/(-3) = 2/3`