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Find the angle between the line joining ...

Find the angle between the line joining the points (1,-2), (3,2) and the line `x+2y-7=0`

Text Solution

Verified by Experts

The correct Answer is:
`pi//2`

`x+2y-7=0`
Slope of line (i) `m_1=(1)/(2)`
Slope of line `PQ=m_2=(2-(-2))/(3-1)=2`
where `P-=(1,-2)` and `Q-=(3,2)`.
Since `m_1,m_2=-1` the angle between line (1) and line `PQ is pi//` .
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