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If A, B, C are represented by 3 + 4i, 5 - 2i, -1 + 16i respectively, then A, B, C are
  • a)
    collinear
  • b)
    vertices of equilateral triangle
  • c)
    vertices of isosceles triangle
  • d)
    vertices of right angled triangle
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If A, B, C are represented by 3 + 4i, 5 - 2i, -1 + 16i respectively, t...
Given, A = 3 + 4i, B = 5 - 2i, C = -1 + 16i.

To check if the points A, B, and C are collinear, we can use the slope formula.

Slope of AB = (y2 - y1) / (x2 - x1) = (-2 - 4) / (5 - 3) = -3
Slope of BC = (y2 - y1) / (x2 - x1) = (16 + 2) / (-1 - 5) = -2
Slope of AC = (y2 - y1) / (x2 - x1) = (16 - 4) / (-1 - 3) = -3

Since the slope of AB and AC are equal, we can conclude that the points A, B, and C are collinear.

Therefore, the correct option is A.
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If A, B, C are represented by 3 + 4i, 5 - 2i, -1 + 16i respectively, t...
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If A, B, C are represented by 3 + 4i, 5 - 2i, -1 + 16i respectively, then A, B, C area)collinearb)vertices of equilateral trianglec)vertices of isosceles triangled)vertices of right angled triangleCorrect answer is option 'A'. Can you explain this answer?
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If A, B, C are represented by 3 + 4i, 5 - 2i, -1 + 16i respectively, then A, B, C area)collinearb)vertices of equilateral trianglec)vertices of isosceles triangled)vertices of right angled triangleCorrect 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 If A, B, C are represented by 3 + 4i, 5 - 2i, -1 + 16i respectively, then A, B, C area)collinearb)vertices of equilateral trianglec)vertices of isosceles triangled)vertices of right angled triangleCorrect 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 If A, B, C are represented by 3 + 4i, 5 - 2i, -1 + 16i respectively, then A, B, C area)collinearb)vertices of equilateral trianglec)vertices of isosceles triangled)vertices of right angled triangleCorrect answer is option 'A'. Can you explain this answer?.
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