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If the line 5x + 12y - 60 = 0 intersect...

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:

A

`(4/3 , 4/3)`

B

`(1/3,1/3)`

C

`(2/3, 2/3)`

D

`(2,2)`

Text Solution

Verified by Experts

The correct Answer is:
D

`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)
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