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प्रश्न
The coordinates of the vertices of ΔABC are respectively (–4, –2), (6, 2) and (4, 6). The centroid G of ΔABC is ______.
विकल्प
(2, 2)
(2, 3)
(3, 3)
(0, –1)
MCQ
रिक्त स्थान भरें
उत्तर
The coordinates of the vertices of ΔABC are respectively (–4, –2), (6, 2) and (4, 6). The centroid G of ΔABC is (2, 2).
Explanation:
Coordinates of the centrioid G of ΔABC
= `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`
= `((-4 + 6 + 4)/3, (-2 + 2 + 6)/3)`
= (2, 2)
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Centroid of a Triangle
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संबंधित प्रश्न
In the given diagram, ABC is a triangle, where B(4, – 4) and C(– 4, –2). D is a point on AC.
- Write down the coordinates of A and D.
- Find the coordinates of the centroid of ΔABC.
- If D divides AC in the ratio k : 1, find the value of k.
- Find the equation of the line BD.
Find the coordinates of the centroid P of the ΔABC, whose vertices are A(–1, 3), B(3, –1) and C(0, 0). Hence, find the equation of a line passing through P and parallel to AB.
