(b) (2, 2)The line 3x + 4y – 24 = 0 cuts the axis at A. To obtain the co-ordinates of A put y = 0, as on x-axis, y = 0. ∴ A ≡ (8, 0) ...(i) Also, on y-axis, x = 0, therefore B ≡ (0, 6) ...(ii) ∴ The three vertices of Δ AOB are A(8, 0), O(0, 0), B(0, 6) ∴ a = OB = 6, b = OA = 8, c = AB = \(\sqrt{(0-8)^+(6-0)^2}\) = \(\sqrt{64+36}\) = \(\sqrt{100}\) = 10.∴ Co-ordinates of the incentre= \(\bigg(rac{ax_1+bx_2+cx_3}{a+b+c},rac{ay_1+by_2+cy_3}{a+b+c}\bigg)\)= \(\bigg(rac{6 imes8+8 imes0+10 imes0}{6+8+10},rac{6 imes0+8 imes6+10 imes0}{6+8+10}\bigg)\)= \(\bigg(rac{48}{24},rac{48}{24}\bigg)\) = (2, 2).