Answer:
Option C
Explanation:
On homogenising y2−x2=4 with the help of the line √3x+y=2, we get
y2−x2=4(√3x+y)24
⇒ y2−x2=3x2+y2+2√3xy
⇒ 4x2+2√3xy=0
On comparing with ax2+2hxy+by2=0 .
we get,
a=4,h=√3 and b=0
We know that,
tanθ=2√h2−aba+b=2√3−04+0
∴ The angle between the lines is
θ=tan−1(√32)