`1-:1/3=` `1/3` (b) 3 `1 1/3` (d) `3 1/3`

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

If x/2+1/3=1, then x= 3/4 (b) 4/3 -3/4 (d) (-4)/3

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

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

The common difference of the A.P. 1/3,(1-3b)/3,(1-6b)/3,\ dot is 1/3 (b) -1/3 (c) b (d) b

The sum of n terms of the series 5/1.2.1/3+7/2.3.1/3^2+9/3.4.1/3^3+11/4.5.1/3^4+.. is (A) 1+1/2^(n-1).1/3^n (B) 1+1/(n+1).1/3^n (C) 1-1/(n+1).1/3^n (D) 1+1/2n-1.1/3^n

If A = 1/1 cot ^(-1) (1/1) + 1/2 cot^(-1) (1/2) + 1/3 cot ^(-1) ( 1/3) " and " B = 1 cot^(-1) ( 1) + 2 cot^(-1) (2) + 3 cot^(-1) (3) " then " |B - A| " is equal to " (api)/b + c/d cot ^(-1) (3) where a,b,c,d in N are in their lowest form , find ( b -a - c - d)

4(3)/(7)-1(3)/(14)=?+2(3)/(28)1(3)/(28)(b)3(1)/(14) (c) 3(3)/(14) (d) 3(1)/(28) (e) None of these

The plane XOZ divides the join of (1,-1,5) and (2,3,4) in the ratio lamda:1 Then lamda is (A) -3 (B) -1/3 (C) 3 (D) 1/3