1.

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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