ABC is a triangle such that I, O, S are Incenter, Orthocenter and Circumcenter respectively.  B is
greater than  C. Lines AI and OS cut at P. Also, OP =√3 PS. Also,  OAS = 10
o
Coordinates of .
O and S are (6,4) and (3,-2) Now, answer the following questions
18. Ratio of area of triangle AOI to that of SAI is
(A) √3 (B) 3 (C) √6 (D) 3√2
19. Centroid of the triangle ABC is located at
(A) (5, 2) (B) (4.5, 1) (C) (5, -2) (D) (4, 0)
20. D is midpoint of AB and E is foot of perpendicular of B on to AC. Ratio of area of triangle BEC
to that of ADS is
(A) 1:2 (B) 2: 1 (C) 3:2 (D)

Question

ABC is a triangle such that I, O, S are Incenter, Orthocenter and Circumcenter respectively.  B is 
greater than   C. Lines AI and OS cut at P. Also, OP =√3 PS. Also,   OAS = 10
o
 Coordinates of .
O and S are (6,4) and (3,-2) Now, answer the following questions
18. Ratio of area of triangle AOI to that of SAI is
(A) √3 (B) 3 (C) √6 (D) 3√2
19. Centroid of the triangle ABC is located at
(A) (5, 2) (B) (4.5, 1) (C) (5, -2) (D) (4, 0)
20. D is midpoint of AB and E is foot of perpendicular of B on to AC. Ratio of area of triangle BEC 
to that of ADS is
(A) 1:2 (B) 2: 1 (C) 3:2 (D)

mathteacher1729 · Answer

Was this a copy/paste from MS Word? The symbols look all weird.