Pair of straight lines
Two-dimensional geometry · Mathematics
Study notes
Q: Find the angle between the lines x² − 5xy + 6y² = 0. Factor: (x−2y)(x−3y) = 0. Lines: x = 2y, x = 3y (slopes 1/2, 1/3). Formula: a=1, h=−5/2, b=6. tanθ = 2√(25/4−6)/|7| = 2(1/2)/7 = 1/7. θ = arctan(1/7) ≈ 8.13°.