Question

21]. The seperate equation
X^2-4xy + y^2 Are?
of
lines represented
by​

Answer 1

Answer:

Step-by-step explanation:

Given pair of lines are x  

2+4xy+y   =0

⟹(  x y   )  2 +4  x y +1=0  

⟹  x y   =  2 −4±2  3  =−2±  3

​∴ The lines y=(−2+  3  )x and y=(−2−  3 )x and x−y=4 forms an equilateral triangle

Clearly the pair of lines x  

2 +4xy+y  

2  =0 intersect at origin,

The perpendicular distance form origin to x−y=4 is the height of the equilateral triangle

h=2  

∴ Area of the triangle is   3    h / 2  =  3 /8

​