Question

Choose correct alternatives:

The difference between the slopes of the lines represented by 3x² - 4xy + y² = 0 is 2

Options

• 2

• 1

• 3

• 4

Answer 1

The difference between the slopes of the lines represented by 3x² - 4xy + y² = 0 is 2.

Explanation:

Comparing with

ax² + 2hxy + by² = 0

a = 3, 2h = -4, h = -2, b = 1

Let m₁, m₂ are slopes of the lines

∴ m_{1 -} m₂ = `(2sqrt(h^2 - ab))/b`

= `(2sqrt(4 - 3))/1`

= 2