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Question
Using slope concept show that the points M(1, -2), N(2, -1) and T(3, 0)
Using slope concept show that the points M(1, -2), N(2, -1) and T(3, 0)
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Solution
The correct option is A are collinear
ThegivenpointsareM(x1,y1)=(1,−2),N(x2,y2)=(2,−1)&T(x3,y3)=(3,0).Nowif3pointsM(x1,y1),N(x2,y2)&T(x3,y3)arecollinearthenslopemMN=slopemNT=slopemMT..slopemMN=y2−y1x2−x1=−1+22−1=1,slopemNT=y3−y2x3−x2=0+13−2=1andslopemMT=y3−y1x3−x1=0+23−1=1.∴slopemMN=slopemNT=slopemMT..∴ThepointsM,N&Tarecollinear.Ans−OptionA.
ThegivenpointsareM(x1,y1)=(1,−2),N(x2,y2)=(2,−1)&T(x3,y3)=(3,0).Nowif3pointsM(x1,y1),N(x2,y2)&T(x3,y3)arecollinearthenslopemMN=slopemNT=slopemMT..slopemMN=y2−y1x2−x1=−1+22−1=1,slopemNT=y3−y2x3−x2=0+13−2=1andslopemMT=y3−y1x3−x1=0+23−1=1.∴slopemMN=slopemNT=slopemMT..∴ThepointsM,N&Tarecollinear.Ans−OptionA.
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