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Question


The coordinates of the point P which divides the line segment joining A(1,-2,3) and B(3,4,-5) externally in the ratio 2:3 is


Options:
A .   (9,2,-1)
B .   P=(95,25,15)
C .   (-3,-14,19)
D .   P=(35,145,195)
Answer: Option C
:
C

Let P(x,y,z) divide the line segment joining A(1,-2,3) and B(3,4,-5) externally in the ratio 2:3. Therefore,


x=2×3+(3)×12+(3)=3y=2×4+(3)×(2)2+(3)=14z=2×(5)+(3)×32+(3)=19


P=(3,14,19)



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