The centroid of `DeltaABD` where A(3,0) , B(-4,3) and D(0,-4) is : (A) `(1/3, - 1/3)` (B) `(- 1/3, - 1/3)` (C) `(1/3, 1/3)` (D) `(2/3, - 1/3)`

1-:1/3= (a) 1/3 (b) 3 (c) 1 1/3 (d) 3 1/3

4 1/3-2 1/3= (a) 2 1/3 (b) 2 (c) 3 1/3 (d) 1/2

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (a) (1/2,1/2) (b) (1/3,1/3) (c) (0,0) (d) (1/4,1/4)

{(1/3)^2}^4 is equal to (a) (1/3)^6 (b) (1/3)^8 (c) (1/3)^(24) (d) (1/3)^(16)

The matrix X in the equation AX=B, such that A= [(1,3),(0,1)] and B= [(1,-1),(0,1)] is given by (A) [(1,0),(-3,1)] (B) [(1,-4),0,1)] (C) [(1,-3),(0,1)] (D) [(0,-1),(-3,1)]

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

1/3+1/x=3 , then x= (a) 7/3 (b) 2/3 (c) 4/3 (d) 3/8

9xx(-1/3)xx(-3)xx(-1/9)= (a) 1 (b) -1 (c) -3 (d) 3

The roots of the equation det [(1-x, 2, 3),(0,2-x,0),(0,2,3-x)]=0 are (A) 1 and 2 (B) 1 and 3 (C) 2 and 3 (D) 1,2, and 3

The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at the point (a) (1/2 ,3/4) (b) (1,3) (c) (3,1) (d) (3/4 ,1/2)