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The two points (1, 1, 1) and (-3, 0, 1) from the plane 3x +4y - 12z + 13=0 are
  • a)
    equidistant from it and lie on the same side of it
  • b)
    not equidistant from it and lie on the same side of it
  • c)
    not equidistant from it and lit; on opposite sides of it
  • d)
    equidistant from it and lie on the opposite sides of it
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Thetwo points (1, 1, 1) and (-3, 0, 1) from the plane 3x +4y - 12z + 1...
Proof: Substituting the coordinates of the given points P( 1,1, 1) and Q (-3, 0, 1) in the equation of plane, we get 

Since they are of opposite signs, therefore the points lie on the opposite sides of the plane. Also the perpendicular distances p and q of P and Q are given by

Thus the points are equidistant from the plane and on the opposite sides of it.
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Most Upvoted Answer
Thetwo points (1, 1, 1) and (-3, 0, 1) from the plane 3x +4y - 12z + 1...
Proof: Substituting the coordinates of the given points P( 1,1, 1) and Q (-3, 0, 1) in the equation of plane, we get 

Since they are of opposite signs, therefore the points lie on the opposite sides of the plane. Also the perpendicular distances p and q of P and Q are given by

Thus the points are equidistant from the plane and on the opposite sides of it.
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Thetwo points (1, 1, 1) and (-3, 0, 1) from the plane 3x +4y - 12z + 13=0 area)equidistant from it and lie on the same side of itb)not equidistant from it and lie on the same side of itc)not equidistant from it and lit; on opposite sides of itd)equidistant from it and lie on the opposite sides of itCorrect answer is option 'D'. Can you explain this answer?
Question Description
Thetwo points (1, 1, 1) and (-3, 0, 1) from the plane 3x +4y - 12z + 13=0 area)equidistant from it and lie on the same side of itb)not equidistant from it and lie on the same side of itc)not equidistant from it and lit; on opposite sides of itd)equidistant from it and lie on the opposite sides of itCorrect answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Thetwo points (1, 1, 1) and (-3, 0, 1) from the plane 3x +4y - 12z + 13=0 area)equidistant from it and lie on the same side of itb)not equidistant from it and lie on the same side of itc)not equidistant from it and lit; on opposite sides of itd)equidistant from it and lie on the opposite sides of itCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Thetwo points (1, 1, 1) and (-3, 0, 1) from the plane 3x +4y - 12z + 13=0 area)equidistant from it and lie on the same side of itb)not equidistant from it and lie on the same side of itc)not equidistant from it and lit; on opposite sides of itd)equidistant from it and lie on the opposite sides of itCorrect answer is option 'D'. Can you explain this answer?.
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