Q.

If the centroid and a vertex of an equilateral triangle are (2, 3) and (4, 3) respectively, then the other two vertices of the triangle are

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a

1,3+3

b

2,3+3

c

1,2+3

d

2,2+3

answer is A.

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Detailed Solution

G being the centroid, divides AD in the ratio 2 : 1.Since AG = 2,∴ GD = 1,∴ Coordinates of D, using section formula, are D(1, 3).Now AD = 1 + 2 = 3, ∴tan600=3BD⇒BD=3∴B≡1,3+3 and C≡1,3-3
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