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  • The incentre of the triangle with vertices <img alt="(1, \sqrt{3}),(0,0)$ and $(2,0)" src="https://entrancecorner.oncodecogs.com/gif.latex?%281%2C%20%5Csqrt%7B3%7D%29%2C%280%2C0%29%24%20and%20%24%2

The incentre of the triangle with vertices (1, \sqrt{3}),(0,0)$ and $(2,0) is

Option: 1

\left(1, \frac{\sqrt{3}}{2}\right)


Option: 2

\left(\frac{2}{3}, \frac{1}{\sqrt{3}}\right)


Option: 3

\left(\frac{2}{3}, \frac{1}{\sqrt{3}}\right)


Option: 4

\left(1, \frac{1}{\sqrt{3}}\right)


Answers (1)

best_answer

Since the given triangle is equilateral hence in centre will contact with centroid which is

\left(1, \frac{1}{\sqrt{3}}\right)

Hence (D) is the correct answer.

Posted by

Devendra Khairwa

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