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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

(a)

(3, 4)

(b)

(2, 2)

(c)

(4, 4)

(d)

(4, 3)


Question ID - 56841 | Toppr Answer

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

(a)

(3, 4)

(b)

(2, 2)

(c)

(4, 4)

(d)

(4, 3)

1 Answer - 5876 Votes

3537

Answer Key : (b) -

7r – 24 =

2r = 24  or 12r + 24

r= 14, r = 2

then incentre is (2, 2)



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