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If A(-2,1),B(2,3)a n dC(-2,-4) are three...

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

Text Solution

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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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