Question

Find the joint equation of the pair of lines:

Through the point (2, -3) and parallel to lines represented by x² + xy – y² = 0

Answer 1

Comparing the equation

x² + xy – y² = 0 … (1)

with ax² + 2hxy + by² = 0, we get,

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

Let m₁ and m₂ be the slopes of the lines represented by (1).

The slopes of the lines parallel to these lines are m₁ and m₂.

∴ the equations of the lines with these slopes and through the point (2, -3) are