a^(12)+b^(12)

Two third of a positive number and (25)/(216) of its reciprocal are equal.The number is (5)/(12) b.(12)/(5) c.(25)/(144) d.(144)/(25)

int_(a)^(4){x}^([x])dx is equal to (where [.] and {.} represent greatest integer function and fractional part function respectively.(13)/(12) (b) (1)/(12) (c) (5)/(12) (d) (17)/(12)

Express in exponential form. a. (-p)^(12)-:(-q)^(12) b. a^(20)-:(-3)^(20)

The vertex of the parabola (y-2)^(2)=16(x-1) is (1,2) b.(-1,2)c(1,-2)d.(2,1)

The factors of 625 a ^(12) - 81 b ^(12) are :

{{:(a =b ^(2) + 4b -12),(a=-12 +b):} The ordered pair (a,b) satisfies the system of equatin above. What is one possible value of b ?

2(1)/(4)+1(1)/(3)-4(1)/(2)=?-1(1)/(12) (b) (11)/(12) (c) -(11)/(12)(d)1(1)/(12) (e) None of these

If A=[[1,2],[3,4]],B=[[1,2],[2,1]] . Show that (AB)^(-1)=B^(-1)A^(-1)

The vertex of the parabola (y-2)^2=16(x-1) is a. (1,2) b. (-1,2) c. (1,-2) d. (2,1)

The probability that when 12 distinct balls are distributed among three distinct boxes, the first will contain exactly three balls is (A) (2^(9))/(3^(12)) (B) (^(12)C_(3)*2^(9))/(9^(6)) (C) (^(12)C_(3)*2^(12))/(3^(12)) (D) (^(12)C_(3)*3^(9))/(3^(12))