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A variable plane at a distance of the one unit from the origin cuts the coordinates axes at A, B and C. If the centroid D (x, y, z) of triangle ABC satisfies the relation  , then the value k is
  • a)
    3
  • b)
    1
  • c)
    1/3
  • d)
    9
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A variable plane at a distance of the one unit from the origin cuts th...
Let the eqn of variable plane be   which meets the axes at A (a, 0, 0), B (0, b, 0) and C (0. 0, c).
∴ Centroid of 
and it satisfies the relation

             ...(1)
Also given that the distance of plane  from (0, 0, 0) is 1 unit.

From (1) and (2), we get 
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A variable plane at a distance of the one unit from the origin cuts the coordinates axes at A, B and C. If the centroid D (x, y, z) of triangle ABC satisfies the relation , then the value k isa)3b)1c)1/3d)9Correct answer is option 'D'. Can you explain this answer?
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A variable plane at a distance of the one unit from the origin cuts the coordinates axes at A, B and C. If the centroid D (x, y, z) of triangle ABC satisfies the relation , then the value k isa)3b)1c)1/3d)9Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A variable plane at a distance of the one unit from the origin cuts the coordinates axes at A, B and C. If the centroid D (x, y, z) of triangle ABC satisfies the relation , then the value k isa)3b)1c)1/3d)9Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A variable plane at a distance of the one unit from the origin cuts the coordinates axes at A, B and C. If the centroid D (x, y, z) of triangle ABC satisfies the relation , then the value k isa)3b)1c)1/3d)9Correct answer is option 'D'. Can you explain this answer?.
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