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Question

If (4,6),(2,3) and (2,5) are vertices of a triangle, then its incentre is

A
(1,2)
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B
(2,1)
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C
(1,2)
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D
(2,1)
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Solution

The correct option is A (1,2)
By distance formula
d=(x2x1)2+(y2y1)2
a=(2+2)2+(3+5)2=80=45 units
b=(2+4)2+(56)2=125=55 units
c=(2+4)2+(36)2=45=35 units
Inunbe Formula,
xc=ax1+bx1+cx3a+b+c
=45(4)+55(2)+35(2)45+55+35=1
yc=ay1+by2+cy3a+b+c
=45(6)+55(3)+35(5)45+5+35=2
Inunbe (xc,yc)(1,2)

1217552_1507607_ans_6263f20cf0c445b1b987b8f55b3fed79.jpg

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