Question

find the straight lines represented by the equation 4x^2-24xy+11y^2=0​ & also find the angle between them

Answer 1

Given equation is 4x2 + 24xy + 11y2 = 0

Here a = coeff. of x2 = 4, b = coeff. of y2 = 11

and 2h = coeff. of xy = 24

∴ h = 12

Where θ is the acute angle between the lines.

∴ acute angle between the lines is tan–1 (4/3) and obtuse angle between them is π – tan–1(4/3).