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Grade 11Analytical Geometry

The incentre of of the triangle formed by gye lines y=mod x and y=1 is

Profile image of Arush Acharya
10 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
ApprovedApproved Tutor Answer10 Years ago
First plot the lines and calculate the intersection points of the given lines.
the given eqns are:
 
y = x
y = -x
and
y =1
 
Let say points of intersection be:
(x1,y1)  (x2,y2)  and (x3,y3)
 
the incentre will be:
((ax1 + bx2 +cx3)/(a+b+c)  ,(ay1 + by2 +cy3)/(a+b+c)) 
 
where a,b and c are the dstances between the coordinates of the tringles opposite to vertices of triangle ABC.