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Find the acute angle between the lines 2x+3y+5=0 and x-2y-4=0
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Solution:

For 2x+3y+5=0

slopem1=ab=23

Form2=ab=12=12

tanθ=|m1m21+m1m2|

=|23121+(23).(12)|

=74

θ=tan1(74)OR60.26o

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