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If A(1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram taken in order, then find the values of x and y.
  • a)
    x = 6, y = 3
  • b)
    x = 6, y = -3
  • c)
    x = -6, y = 3
  • d)
    x = -6, y = -3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If A(1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a paralle...

Given, vertices of parallelogram are A(1, 2), B(4, y), C(x, 6) and D(3, 5)
We know that diagonals of a parallelogram bisect each other, so let the diagonals cross at point O.
Since O divides AC and BD in 1:1 ratio so,
Coordinate of O (w.r.t. AC) =
Coordinate of O (w.r.t. BD) 
Since both the coordinate s are same so equating them we get,
1 + x = 7
⇒ x = 6
And,
8 = 5 + y
⇒ y = 3
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If A(1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram taken in order, then find the values of x and y.a)x = 6, y = 3b)x = 6, y = -3c)x = -6, y = 3d)x = -6, y = -3Correct answer is option 'A'. Can you explain this answer?
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If A(1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram taken in order, then find the values of x and y.a)x = 6, y = 3b)x = 6, y = -3c)x = -6, y = 3d)x = -6, y = -3Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If A(1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram taken in order, then find the values of x and y.a)x = 6, y = 3b)x = 6, y = -3c)x = -6, y = 3d)x = -6, y = -3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A(1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram taken in order, then find the values of x and y.a)x = 6, y = 3b)x = 6, y = -3c)x = -6, y = 3d)x = -6, y = -3Correct answer is option 'A'. Can you explain this answer?.
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