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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) internally 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 B
:
B

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


x=2×3+3×12+3=95y=2×4+3×(2)2+3=25z=2×(5)+3×32+3=15


P=(95,25,15)



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