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Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and C(4, 0). The co – ordinates of the fourth vertex D are
  • a)
    ( – 4, – 2)
  • b)
    (4, 2)
  • c)
    (4, – 2)
  • d)
    ( – 4, 2)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0...
Method to Solve :

Let the co-ordinates of the fourth vertex D be (x, y).

We know that diagonals of a parallelogram bisect each other.

Mid-point of BD = Mid-point of AC

Coordinates of the mid-point of BD are  [1 + x/2 , 0+y/2]

Coordinates of the mid-point of AC are  [1+4/2 , 2+0/2]=[5/2,1]

1+x/2=5/2

x+1=5

x=4  

0+y/2=1

y=2

Thus, the co-ordinates of the vertex D are (4, 2).
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Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0...
Ordinates of the fourth vertex D are (4, 2).
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Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and C(4, 0). The co – ordinates of the fourth vertex D area)( – 4, – 2)b)(4, 2)c)(4, – 2)d)( – 4, 2)Correct answer is option 'B'. Can you explain this answer?
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Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and C(4, 0). The co – ordinates of the fourth vertex D area)( – 4, – 2)b)(4, 2)c)(4, – 2)d)( – 4, 2)Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and C(4, 0). The co – ordinates of the fourth vertex D area)( – 4, – 2)b)(4, 2)c)(4, – 2)d)( – 4, 2)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and C(4, 0). The co – ordinates of the fourth vertex D area)( – 4, – 2)b)(4, 2)c)(4, – 2)d)( – 4, 2)Correct answer is option 'B'. Can you explain this answer?.
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