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if A(-1,3),B(2,p)and C(5,-1)are collinear,then p=

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Solution: We  have ,  

         Slope of AB= Slope of BC

\Rightarrow (AB)m=(BC)m

\ Rightarrow (p-3)/(2+1)=(-1-p)/(5-2)\ Rightarrow (p-3)/3=(-1-p)/3\ Rightarrow 2p=2\ \Rightarrow p=1  

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Deependra Verma

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