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If the image of the point P(1,-2,3) in t...

If the image of the point `P(1,-2,3)` in the plane `2x+3y-4z+22=` (measured parallel to the line with dr's is `1,4,5` is Q ,then PQ is

Text Solution

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`L:(x-1)/1=(y+2)/4=(z-3)/5=lambda`
`PD=QD`
D is Mid Point of PQ
`2x+3y-4z+22=0`
`2(lambda+1)+3(4lambda-2)-4(5lambda+3)+22=0`
`2lambda+2+12lambda-6-20lambda-12+22=0`
`-6lambda+6=0`
`lambda=1`
...
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