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The point of intersection of the line jo...

The point of intersection of the line joining the points (-3,4,-8) and (5,-6,4) with the XY-plane is

A

`(7/3,-8/3,0)`

B

`(-7/3,-8/3,0)`

C

`(-7/3,8/3,0)`

D

`(7/3.8/3,0)`

Text Solution

Verified by Experts

The correct Answer is:
A
The equation of the line joining the point (-3,4,-8) and (5,-6,4) is
`(x+3)/8=(y-4)/(-10)=(z+8)/12=k` (say)
`rArr 12K-8=0 rArr 12k=8rArr k=8/12=2/3`
`:. X=8(2/3)-3,y=-10(2/3)+4,z=12(2/3)-8`
`rArrx=16/3-3, y=(-20)/3+4,z=24/3-8`
`rArr x=7/3,y=(-8)/3,z=0`
`:.(x,y,z)=(7/3,(-8)/3,0)`
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