Given Lines Line 21 3x + 11y188 = 0 Live 3 - 11x-3y +56=0 Line 1 - 3x + Hy + 15=0 3x -15 11 Live 3: ay line 2. 3x+lly +88 = 0 ny = -88-3x 11 dy.. dx Lines Lines are 11 B 11 -11x + 3y + 55-0 -y = -55+ 11x 3 ay ==111 slope of live 3 or m₂ = 1/ ; slope of line 1 or m₁ = 3 , slope of line 2 or m₂ = -3 31 parallel if slop of both lines are equal. between live sI and Live 2! m, & m₂: are perpendicular ext slope of both thes m₁ m₂ is m₁ 7m₂ and m₁m₂ # 1 following m, m₂.1 Hence, line I and live 2 are neither paralled or perpendicular. between Lue 2 and live 3: mg / m₂ 1 = M₂. m₂ 7-1 Hence non perpendicular line 1 mimg - 유 X Between Line & Live 2 and line 2 Hence, A Line I & line 3 are neither parallel are perpendicular to each other.
Given Lines Line 21 3x + 11y188 = 0 Live 3 - 11x-3y +56=0 Line 1 - 3x + Hy + 15=0 3x -15 11 Live 3: ay line 2. 3x+lly +88 = 0 ny = -88-3x 11 dy.. dx Lines Lines are 11 B 11 -11x + 3y + 55-0 -y = -55+ 11x 3 ay ==111 slope of live 3 or m₂ = 1/ ; slope of line 1 or m₁ = 3 , slope of line 2 or m₂ = -3 31 parallel if slop of both lines are equal. between live sI and Live 2! m, & m₂: are perpendicular ext slope of both thes m₁ m₂ is m₁ 7m₂ and m₁m₂ # 1 following m, m₂.1 Hence, line I and live 2 are neither paralled or perpendicular. between Lue 2 and live 3: mg / m₂ 1 = M₂. m₂ 7-1 Hence non perpendicular line 1 mimg - 유 X Between Line & Live 2 and line 2 Hence, A Line I & line 3 are neither parallel are perpendicular to each other.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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