The incentre of the triangle with vertices A ( 1 , 3 ) , B ( 0 , 0 ) and C ( 2 , 0 ) is

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

MathematicsStraight LinesAP EAMCETAP EAMCET 2017 (25 Apr Shift 2)

Options:

A $\left(1, \frac{\sqrt{3}}{2}\right)$
B $\left(\frac{2}{3}, \frac{1}{\sqrt{3}}\right)$
C $\left(\frac{2}{3}, \frac{\sqrt{3}}{2}\right)$
D $\left(1, \frac{1}{\sqrt{3}}\right)$

Solution:

1410 Upvotes Verified Answer

The correct answer is: $\left(1, \frac{1}{\sqrt{3}}\right)$

No solution. Refer to answer key.

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