Find the acute angle between lines represented by 3x^2 + 2xy - y^2 = 0 *
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Answer:
ax
2
+2hxy+by
2
+2gx+2fy+c=0
→ It represents two straight lines, then angle between them is given by
θ=tan
−1
(
a+b
2
h
2
−ab
)
→ The lines represents by ax
2
+2hxy+by
2
+2gx+2fy+c=0 are perpendicular if
a+b=0
Given equation is 3x
2
+4xy−3y
2
=0 here a+b=0
∴ Equation represents perpendicular lines
∴ Angle between lines is 90
0
.
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