In the triangle with vertices at A(6, 3), B(- 6, 3) and C(- 6, - 3), the median through A meets BC at P, the line AC meets the x-axis at Q, while R and S respectively denote the orthocentre and centroid of the triangle. Then the correct matching of the coordinates of points in List-I to List-II is
List-I List-II
(i) P (A) (0, 0)
(ii) Q (B) (6, 0)
(iii) R (C) (- 2, 1)
(iv) S (D) (- 6, 0)
(E) (- 6, - 3)
(F) (- 6, 3)
A. (i) (ii) (iii) (iv) | (i) D A E C |
B. (i) (ii) (iii) (iv) | (ii) D B E C |
C. (i) (ii) (iii) (iv) | (iii) D A F C |
D. (i) (ii) (iii) (iv) | (iv) B A F C |
A. (i) (ii) (iii) (iv) | (i) |
B. (i) (ii) (iii) (iv) | (ii) |
C. (i) (ii) (iii) (iv) | (iii) |
D. (i) (ii) (iii) (iv) | (iv) |
If a = , then the correct matching of List-I from List-II is
List-I List-II
(i)
(ii)
(iii)
(iv) 1
correct match is
A. (i) (ii) (iii) (iv) | (i) D E C B |
B. (i) (ii) (iii) (iv) | (ii) D A B F |
C. (i) (ii) (iii) (iv) | (iii) F E B C |
D. (i) (ii) (iii) (iv) | (iv) D A B C |
If : R R and g : R R are defined by f(x) = x - [x] and g(x) = [x] for x R, where[x] is the greatest integer not exceeding x, then for every x R, f(g(x)) is equal to
x
0
f(x)
g(x)