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The incentrre of the triangle formed by the lines \mathrm{y=15,12 y=5 x} and \mathrm{3 x+4 y=0} is

Option: 1

(8,1)


Option: 2

(-1,8)


Option: 3

(1,8)


Option: 4

none of these


Answers (1)

best_answer

The vertices of the triangle are \mathrm{(36,15),(0,0)} and \mathrm{(-20,15)} and the lengths of opposite sides are 25,56 and 39 respectively. Hence, the incentre is

\mathrm{\left(\frac{25(36)+39(-20)}{120}, \frac{25(15)+(39)(15)}{120}\right)}.

Posted by

Divya Prakash Singh

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