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Question

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?

The correct answer is

(0, -3)

The centroid of a triangle is given by the average of the coordinates of its vertices. For vertices A(1, -5), B(-4, 0), and C(3, -4), the centroid is (0, -3).

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Important Questions from Coordinate Geometry

  1. What is the reflection of the point (-1, 5) in the line x = 1?

  2. Slope of the line AB is 4/3. Co-ordinates of points A and B are (x, -5) and (2, -3) respectively. What is the value of x?

  3. Find the co-ordinates of the centroid of a triangle whose vertices are A(1, 4), B(7, 8) and C(10, 12).

  4. If x² + y² - 12x + 18y + 117 = 0, then the value of x² + y² is:
  5. If x² + y² - 16x + 38y + 425 = 0, then the value of x² + y² is:
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