If the line 5x + 12y - 60 = 0 intersects the x-axis at the point A and the y-axis at the point B, then the incentre of the triangle OAB, where O is the origin, is:

Options

A. `(4/3 , 4/3)`
B. `(1/3,1/3)`
C. `(2/3, 2/3)`
D. `(2,2)`

Answer

D

Explanation

`r = (Delta )/(S)`
`Delta = 1/2 xx 12 xx 5 = 30`
` r = (30^@)/(S)`
`S = (5 + 12 + 13)/(2) = 15`
` r = (30)/(15) = 2`
Incentre : (2, 2)