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Question: Answered & Verified by Expert
If a,b,c are the direction ratios of a line joining the points 4,3,-5 and -2,1,-8 then the point Pa,3 b,2c lies on the plane
MathematicsThree Dimensional GeometryAP EAMCETAP EAMCET 2022 (04 Jul Shift 1)
Options:
  • A x+y+z=0
  • B x+y-2z=0
  • C x+2y+3z=0
  • D x-2y+3z=0
Solution:
1239 Upvotes Verified Answer
The correct answer is: x+y-2z=0

Given a,b,c are the direction ratios of a line joining the points 4,3,-5 and -2,1,-8,

So a=4--2=6b=3-1=2 and c=-5--8=3

Now putting the value of a, b & c in the point Pa,3 b,2c we get P6, 6, 6,

Now checking in all options in which P6, 6, 6 will lie,

We get x+y-2z=0 in which the given point lies.

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