`5-[3/4+{2 1/2-(0. 5+ 1/6-1/7)}]` is equal to (a)`1(19)/(84)` (b) `2(61)/(84)` (c) `2(23)/(84)` (d) `2(47)/(84)`

If A=[(2,-3),(-4,1)] then (3A^2+12A) is equal to (a) [(72,-84),(-63,51)] (b) [(51,63),(84,72)] (c) [(52,84),(63,72)] (d) [(72,-63),(-84,51)]

The probability that the 13^(th) day of any randomly chosen month is a second Saturday, is (A) (1)/(7) (B) (1)/(12) (C) (1)/(84) (D) (19)/(84)

(3^((1)/(5)))^(x)+(3^((1)/(10)))^(x-10)=84

x^(2)-19x+84

The value of cos12^(0)+cos84^(@)+cos156^(@)+cos132^(0) is (1)/(2)1-(1)/(2)(1)/(8)

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range: (i) {(2,1), (3,1),(4,2)} (ii) {(2,2),(2,4),(3,3),(4,4)} (iii) {(2,1),(5,1),(8,1),(11,2),(14,2),(17,2)} (iv) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (v){(2,1),(4,2),(6,3),(8,4),(10,5)} (vi) {(1,2),(2,3),(3,4),(3,5),(3,7),(4,8)}

Add : 5.412.84 and 115.2

If log_(2)7= a and log_(3)2=b ," then the value of log_(14)84 is : (A) (1+3b+2ab)/(ab-b) (B) (1+2b+ab)/(b+ab) (C) (1+a+b)/(a+b) (D) (1+b+ab)/(a+ab)