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The third vertex of the triangle whose centroid is (7,−2, 5) and whose other two vertices are (2, 6, −4)  and (4,−2, 3)  is
  • a)
    (15,−10, 16)
  • b)
    (10,−12, 16)
  • c)
    (13,−14, 11)
  • d)
    (6,−11, 10)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The third vertex of the triangle whose centroid is (7,−2, 5) and...
Let A (2, 6, - 4) and B (4, - 2, 3) be the two given vertices of the triangle. Let C (α , β, γ) be the third vertex 
Since G (7, - 2, 5) is the centroid of ΔABC,

Hence C (15, - 10,16) is the third vertex
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Most Upvoted Answer
The third vertex of the triangle whose centroid is (7,−2, 5) and...
In order to determine the third vertex of the triangle, we need more information. The centroid of a triangle is the average of the coordinates of its vertices. Therefore, we cannot determine the third vertex with just the information that the centroid is (7, ?).
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The third vertex of the triangle whose centroid is (7,−2, 5) and whose other two vertices are (2, 6, −4) and (4,−2, 3) isa)(15,−10, 16)b)(10,−12, 16)c)(13,−14, 11)d)(6,−11, 10)Correct answer is option 'A'. Can you explain this answer?
Question Description
The third vertex of the triangle whose centroid is (7,−2, 5) and whose other two vertices are (2, 6, −4) and (4,−2, 3) isa)(15,−10, 16)b)(10,−12, 16)c)(13,−14, 11)d)(6,−11, 10)Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The third vertex of the triangle whose centroid is (7,−2, 5) and whose other two vertices are (2, 6, −4) and (4,−2, 3) isa)(15,−10, 16)b)(10,−12, 16)c)(13,−14, 11)d)(6,−11, 10)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The third vertex of the triangle whose centroid is (7,−2, 5) and whose other two vertices are (2, 6, −4) and (4,−2, 3) isa)(15,−10, 16)b)(10,−12, 16)c)(13,−14, 11)d)(6,−11, 10)Correct answer is option 'A'. Can you explain this answer?.
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