QJEEM13Maea8a: JEE Main 2013 Mathematics - Class 11 JEEM13Maea8a Solution: The -coordinate of the incentre of the triangle that has the…

Question

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The

x

-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as

(0, 1) (1, 1)

and

(1, 0)

is :

Accepted Answer

From the figure, we have

a = 2,b = 2\sqrt 2 ,c = 2

{x_1} = 0,\,{x^2} = 0,\,{x_3} = 2

Now,

x

-co-ordinate of incenter is given as

{{a{x_1} + b{x_2} + c{x_3}} \over {a + b + c}}

\Rightarrow x

-coordinate of incentre

= {{2 \times 0 + 2\sqrt 2 .0 + 2.2} \over {2 + 2 + 2\sqrt 2 }}

=

{2 \over {2 + \sqrt 2 }} = 2 - \sqrt 2

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