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If (3, –4) and (–6, 5) are the extremities of a diagonal of a parallelogram and (2, 1) is its third vertex, then its fourth vertex is -
  • a)
    (-1,0)
  • b)
    (-1,1)
  • c)
    (0,-1)
  • d)
    (-5,0)
Correct answer is option 'D'. Can you explain this answer?
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If (3, –4) and (–6, 5) are the extremities of a diagonal o...
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If (3, –4) and (–6, 5) are the extremities of a diagonal o...
Let 4th vertex be D
slope of AD=slope of BC
=>m(AD)=-5

equation of AD
y+5x=-25. (1)

slope of AB=slope of CD
=>m(CD)=-1/2

equation of CD
2y+x=-5 (2)

Solving 1 and 2
x=-5, y=0
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If (3, –4) and (–6, 5) are the extremities of a diagonal of a parallelogram and (2, 1) is its third vertex, then its fourth vertex is -a)(-1,0)b)(-1,1)c)(0,-1)d)(-5,0)Correct answer is option 'D'. Can you explain this answer?
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If (3, –4) and (–6, 5) are the extremities of a diagonal of a parallelogram and (2, 1) is its third vertex, then its fourth vertex is -a)(-1,0)b)(-1,1)c)(0,-1)d)(-5,0)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 If (3, –4) and (–6, 5) are the extremities of a diagonal of a parallelogram and (2, 1) is its third vertex, then its fourth vertex is -a)(-1,0)b)(-1,1)c)(0,-1)d)(-5,0)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 If (3, –4) and (–6, 5) are the extremities of a diagonal of a parallelogram and (2, 1) is its third vertex, then its fourth vertex is -a)(-1,0)b)(-1,1)c)(0,-1)d)(-5,0)Correct answer is option 'D'. Can you explain this answer?.
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