`1+2-:{1+2-:(1+1/3)}` is equal to (a) `1 4/5` (b) `2 1/4` (c) `4 1/5` (d) `5 1/4`

The product 3 1/7xx1 5/6xx1 2/5xx1 1/(11) is equal to (a) 5 8/5 (b) 5 4/5 . (c) 8 4/5 (d) 4 4/5

If 2^(-m)\ xx1/(2^m)=1/4, then 1/(14)\ {(4^m)^(1//2)+\ (1/(5^m))^(-1)} is equal to (a) 1/2 (b) 2 (c) 4 (d) -1/4

5 tan^2 A -5sec^2 A+1 is equal to (a) 6 (b) -5 (c) 1 (d) -4

If 2^(-m)x(1)/(2^(m))=(1)/(4), then (1)/(14){(4^(m))^(1/2)+((1)/(5^(m)))^(-1)} is equal to (1)/(2) (b) 2( c) 4(d)-(1)/(4)

((-1)/5)^5x\ ((-1)/2)^3 is equal to ((-1)/2)^8 (b) -\ (1/2)^8 (c) (1/4)^8 (d) (-1/2)^(15)

Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such that A=B X , then X is equal to (a) 1/2[(2, 4), (3, -5)] (b) 1/2[(-2, 4), (3, 5)] (c) [(2, 4), (3,-5)] (d) none of these

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

1/12 :1/60 = (a) 4:1 (b) 1:4 (c) 5:1 (d) 1:5

2tan^(-1)(-2) is equal to (a) -cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3/5 (c) -pi/2+tan^(-1)(-3/4) (d) -picot^(-1)(-3/4)

2tan^(-1)(-2) is equal to (a) -cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3/5 (c) -pi/2+tan^(-1)(-3/4) (d) -picot^(-1)(-3/4)