Question

Match the columns

Column I		Column II
I	In a right triangle the ortho centre is	P	Interior of any triangle
II	Excentre lies	Q	Exterior of any triangle
III	Centroid lies	R	A mid-point of the longest side of the triangle
IV	In a right triangle the circum centre is	S	A point which coincides with one vertex of the triangle where the right angle in formed

• A. I—S; II—R; III—Q; IV—P
• B. I—R; II—P; III—S; IV—Q
• C. I—S; II—Q; III—P; IV—R
• D. I—Q; II—P; III—R; IV—S

Answer 1

Answer: (C)

I. In a right triangle the ortho centre is a point which coincides with one vertex of the triangle where the right angle in formed. For an acute triangle, it lies inside the triangle. For an obtuse triangle, it lies on the vertex of the right angle.
II. Excentre lies exterior of any triangle
III. Centroid lies interior of any triangle and connecting the mid-points of each leg of the triangle to the opposite vertex, centroid will always be inside the triangle.
IV. In right angle triangle the circum centre is a mid-point of the longest side of the triangle.
$\text{ (I) }-\text{ (S); (II) }-(\mathrm{Q})\text{; (III) }-(\mathrm{P})\text{; (IV) - (R) }$