1.

Show that the points (4, 2), (7, 5) and (9, 7) are collinear.

Answer»

if three points are in collinear then area of these points will be 0.here x1=4, y1= 2, x2=7, y2=5, x3=9,y3=7area =1/2[x1 (y2-y3)+x2 (y3-y1)+x3 (y1-y2)]=1/2[4(5-7)+7(7-2)+9(2-5)]=1/2[-8+35-27]=1/2[35-35]=0so these points are in collinear.



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