Question
Find the ratio in which the line segment joining the points (4,8,10) and (6,10,-8) is divided by the YZ-plane.
Answer: Option B
:
B
Let the YZ-plane divide theline segment joining the points (4,8,10) and (6,10,-8) in the ratio k:1 at the point P.
The x-coordinate of the point P is given by
x=4+6kk+1
Since P lies on the YZ plane, x=0
⇒4+6k=0⇒k=−23
Hence, the points are divided by the YZ-plane in the ratio 2:3 externally
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:
B
Let the YZ-plane divide theline segment joining the points (4,8,10) and (6,10,-8) in the ratio k:1 at the point P.
The x-coordinate of the point P is given by
x=4+6kk+1
Since P lies on the YZ plane, x=0
⇒4+6k=0⇒k=−23
Hence, the points are divided by the YZ-plane in the ratio 2:3 externally
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