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Question: Answered & Verified by Expert
Let the lines x-1λ=y-21=z-32 and x+26-2=y+183=z+28λ be coplanar and P be the plane containing these two lines. Then which of the following points does NOT lies on P ?
MathematicsThree Dimensional GeometryJEE MainJEE Main 2022 (28 Jul Shift 2)
Options:
  • A 0,-2,-2
  • B -5,0,-1
  • C 3,-1,0
  • D 0,4,5
Solution:
2890 Upvotes Verified Answer
The correct answer is: 0,4,5

Given, L1:x-1λ=y-21=z-32

and L2:x+26-2=y+183=z+28λ are coplanar

Now using the condition of coplanarity we get,

272031λ12-23λ=0λ=3

Now, normal of plane P, which contains L1 and L2 is given by

i^j^k^312-233=-3i^-13j^+11k^

Now equation of required plane P will be

-3x-1-13y-2+11z-3=0

 3x+13y-11z+4=0

Now satisfy all given points from option we get, 0,4,5 does not lie on plane P.

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