47. The incentre of the triangle formed by (1,2),(3,4) and (2,3) is 1) does not exist 2)(-2,3) 3)(2,-3) 4)(3,3)

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(1, 2), (3, 4)

(2, 3)

(0, 0), (2, 2)

(1 - \sqrt{3}, 1 + \sqrt{3})

(2, 3), (- 2, - 5), (- 4, 6)

(- 2, 3) (2, - 1)

(4, 0)

I. The centroid of the triangle formed by $(2, 3, - 1), (5, 6, 3), (2, - 3, 1)$ is	a) $(2, 2, 2)$
II. The circumcentre of the triangle formed by $(1, 2, 3), (2, 3, 1), (3, 1, 2)$ is	b) $(3, 1, 4)$
III. The orthocenter of the triangle formed by $(2, 1, 5), (3, 2, 3), (4, 0, 4)$ is	c) $(1, 1, 0)$
IV. The incentre of the triangle formed by $(0, 0, 0), (3, 0, 0), (0, 4, 0)$ is	d) $(3, 2, 1)$
	e) $(0, 0, 0)$

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