# Find the measure of acute angle between the lines given by x2 – 4xy + y2 = 0. - Mathematics and Statistics

Sum

find the acute angle between the lines
x2 – 4xy + y2 = 0.

#### Solution

The given pair of lines are x2 – 4xy + y2 = 0
Comparing with ax2 + 2hxy + by2 = 0, we get

a = 1, h = –2, b = 1

tantheta=|(2sqrt(h^2-ab))/(a+b)|=|(2sqrt(4-1))/(1+1)|

=|(2sqrt3)/2|

tantheta=sqrt3

theta=60^@ or pi/3

Concept: Acute Angle Between the Lines
Is there an error in this question or solution?