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Find the angle between the lines whose slope are `(1)/(2)` and 3. |
Answer» Let `theta` be the angle between the given lines. `"Let" m_(1)=(1)/(2) and m_(2)=3."Then",` `tan theta=|(m_(2)-m_(1))/(1+m_(1)m_(2))|=|(3-(1)/(2))/(1+3.(1)/(2))|=|((5//2))/((5//2))|=|1|=1` `Rightarrow theta=45^(@)` Hence, the angle between the given lines is `45^(@)` |
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