Question

If the plane 56x+4y+9z=2016 meets
the coordinate axes in A,B,C then the
centroid of the triangle ABC is
1) (12,168,224) 2) (12,168,112)
3) (12,168,224) 4)(12,-168,224/3)

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Answer 1

plane meets coordinate axes

if it meets x axis point of intersection is ( x,0,0)

So 56x = 2016

x= 36

If it meets y axis point of intersection is (0,y,0)

So 4y = 2016

y= 504

If it meets z axis point of intersection is (0,0,z)

9z = 2016

z= 224

So centroid is

36/3, 504/3, 224/3

12, 168 , 224/3