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The sides of a triangle ABC lie on the l...

The sides of a triangle ABC lie on the lines `3x + 4y = 0, 4x +3y =0` and `x =3` . Let `(h, k)` be the centre of the circle inscribed in `triangleABC`. The value of `(h+ k)` equals

A

0

B

`1/4`

C

`-(1)/(4)`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
1
Verticles of Delta are
`A(0,0),B(3,-4),C(3,(-9)/(4))`

`h=((7)/(4)(0)+(15)/(4)(3)+5(3))/((7)/(4)+(15)/(4)+5)`
`K=(7)/(4)(0)+(15)/(4)(-4)+5(-9)/(4)/((7)/(4)+(15)/(4)+5)`
`h=(105)/(42)`
`k=(-105)/(42)`
`h+k=0`
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