Question

Find k if,

slope of one of the lines given by kx² + 4xy – y² = 0 exceeds the slope of the other by 8.

Answer 1

Comparing the equation 

kx² + 4xy – y² = 0 with ax² + 2hxy + by² = 0, we get, a = k, 2h = 4,

b = -1. Let m₁ and m₂ be the slopes of the lines represented by 

kx² + 4xy – y² = 0.