Find the acute angle between the lines 2x + y = 4 and -3x...
Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0.
40°
44°
45°
54°
Correct answer is C
2x+y=4≡y=4−2x⟹m1=−2
−3x+y+7=0≡y=−7+3x⟹m2=3
tanθ=m1−m21−m1m2=−2−31−(−2)(3)=−5−5=1
\tan \theta = 1 \implies \theta = 45°
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