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
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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:
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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