Let the vertices of triangle beA = (x1, y1) = (x – y, y – z) andB = (x2, y2) = (–x, –y) andC = (x3, y3) = (y, z)Centroid of a triangle is given byG = Substituting values⇒ G = ⇒ G = ⇒ G = (0, 0)Centroid is (0, 0)

Q. 12 E

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Class 9th West Bengal Mathematics 20. Co-ordinate Geometry: Area of Triangular Region

Answer :

Let the vertices of triangle be

A = (x₁, y₁) = (x – y, y – z) and

B = (x₂, y₂) = (–x, –y) and

C = (x₃, y₃) = (y, z)

Centroid of a triangle is given by

G =

Substituting values

⇒ G =

⇒ G = (0, 0)

Centroid is (0, 0)

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