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The vertices of a diagonal of a parallelogram are (3,-4) and (-6,5) and third vertex is (-2,1), then fourth vertex is
  • a)
    (1,1)
  • b)
    (1,0)
  • c)
    (0,1)
  • d)
    (-1,0)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The vertices of a diagonal of a parallelogram are (3,-4) and (-6,5) an...
Given Information:
- Vertices of a diagonal of a parallelogram: (3,-4) and (-6,5)
- Third vertex: (-2,1)

Approach:
1. Use the fact that the diagonals of a parallelogram bisect each other.
2. Find the midpoint of the given diagonal and the third vertex to find the fourth vertex.

Calculations:
1. Midpoint of the diagonal:
- Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)
- Midpoint = ((3-6)/2, (-4+5)/2) = (-3/2, 1/2)
2. Fourth vertex = Midpoint of diagonal + Third vertex
- Fourth vertex = (-3/2 - 2, 1/2 + 1) = (-7/2, 3/2)
3. Simplifying the coordinates, we get the fourth vertex as (-7/2, 3/2) = (-1, 0)
Therefore, the correct answer is option 'D' (-1, 0).
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The vertices of a diagonal of a parallelogram are (3,-4) and (-6,5) and third vertex is (-2,1), then fourth vertex isa)(1,1)b)(1,0)c)(0,1)d)(-1,0)Correct answer is option 'D'. Can you explain this answer?
Question Description
The vertices of a diagonal of a parallelogram are (3,-4) and (-6,5) and third vertex is (-2,1), then fourth vertex isa)(1,1)b)(1,0)c)(0,1)d)(-1,0)Correct answer is option 'D'. 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 vertices of a diagonal of a parallelogram are (3,-4) and (-6,5) and third vertex is (-2,1), then fourth vertex isa)(1,1)b)(1,0)c)(0,1)d)(-1,0)Correct answer is option 'D'. 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 vertices of a diagonal of a parallelogram are (3,-4) and (-6,5) and third vertex is (-2,1), then fourth vertex isa)(1,1)b)(1,0)c)(0,1)d)(-1,0)Correct answer is option 'D'. Can you explain this answer?.
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