Q.

Acute angle between the lines whose slopes are m1=2,m2=12  is θ then the value of tanθ is

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answer is 0.75.

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Detailed Solution

If θ be the acute angle between two lines having slopes m1 and m2 then tan⁡θ=m1−m21+m1m2Hence, tanθ=2−121+1=34 Therefore, tan⁡θ=0.75
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