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# Need clarity, kindly explain! - If the line intersects the x-axis at the point A and the y-axis at the point B,then the incentre of - Co-ordinate geometry - JEE Main

If the line $3x+4y-24 = 0$ 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:

• Option 1)

(3,4)

• Option 2)

(2,2)

• Option 3)

(4,3)

• Option 4)

(4,4)

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y-intercept -

The distance on the y-axis from the origin where the straight line cuts it.

- wherein

From the fig (r,r) is the center of circle.

Distance from point (r,r) to the line $3x+4y-24=0$

$\left | \frac{3r+4r-24}{\sqrt{9+16}} \right |=r$

$7r-24=\pm 5r$

$r=14\: \: or \: \: r=2$

centre is (2,2)

Option 1)

(3,4)

Option 2)

(2,2)

Option 3)

(4,3)

Option 4)

(4,4)

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