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Q.

The co-ordinates of the point where the line through the points A(3,4,1) and B(5,1,6) crosses the xy-plane

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a

135,0,235

b

135,235,65

c

135,235,0

d

133,233,0

answer is C.

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Detailed Solution

The xy - plane cuts the line segment joining the points A(x1,y1,z1),B(x2,y2,z2) in the ratio -z1:z2Hence, the xy- plane divides the line segment joining the points  A(3,4,1)and B(5,1,6) in the ratio -1:6The coordinates of the point which divides the line segment AB in the ratio  1:6 externally is 5-18-5,1-24-5,0=135,235,0
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