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Questions  

The incentre of the triangle formed by 0,0,0,3,0,0,0,4,0 is

a
1,1,0
b
2,2,0
c
3,3,0
d
12,12,0

detailed solution

Correct option is A

The incentre of the triangle formed by the points x1,y1,z1,x2,y2,z2,x3,y3,z3 is ax1+bx2+cx3a+b+c,ay1+by2+cy3a+b+c,az1+bz2+cz3a+b+c where  a,b,care the sides of the triangle. The vertices are   O0,0,0,A3,0,0,B0,4,0Here the sides are OA=3, OB=4, AB=5Therefore, the incentre of the triangle is 1,1,0

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