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Grade: Upto college level

                        

how we can find incentre if the incircle is made by x,y axis and a line having intercepts a and b as a/x+b/y = 1.

9 years ago

Answers : (1)

Pramod J AskiitiansExpert-IIT-B
36 Points
							

Dear student,

given equation has intercept a and b. The angular bisector of O is y=x

the angular bisector of of other vertex has slope equal to tan(180 - (1/2)tan^-1 (b/a)) let us call this as m

and this passes through a,0 and equation is y = mx - ma

put x=y in the equation

=> incentre = x,y = -ma/1-m,-ma/1-m

9 years ago
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