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If three points are A(-2,1)B(2,3),a n dC...

If three points are `A(-2,1)B(2,3),a n dC(-2,-4)` , then find the angle between `A Ba n dB Cdot`

Text Solution

Verified by Experts

Let `m_1` and `m_2` be the slopes of BA and BC, respectively.
then, `m_1=(3-1)/(2-(-2))=(2)/(4)=(1)/(2)`
`m^2=(-4-3)/(-2-2)=(7)/(4)`
Acute angle between lines is
`=tan^(-1) |(7/4-1/2)/(1+(7)/(4)xx(1)/(2))|`
`=tan^(-1) |(10/8)/(15/2)|=tan^(-1),2/3`
Therefore,obtuse angle between lines is `180^@-tan^(-1),2/3`
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