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Questions  

The acute angle between the lines y=23x6  and y=2+3x+8 is

a
120°
b
60°
c
90°
d
30°

detailed solution

Correct option is B

If   is acute angle between two lines  y=m1x−a and  y=2+3x+8 then  tanθ=m1−m21+m1m2Hence, tanθ=2−3−2+31+2−32+3=−231+4−3=3It gives θ=60°Therefore, the acute angle between the given lines is  θ=60°

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