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)

The value of b for which the equation 2log_((1)/(25))(bx+28)=-log_(5)(12-4x-x^(2)) has coincident roots is b=-12 (b) b=4 or b=-12b=4 or b=-12 (d) b=-4 or b=12

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)

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 (1,2) b.(-1,2)c(1,-2)d.(2,1)

If 4sin theta - 3cos theta=0 , then sec theta cosce theta is (A) frac(5)(12) (B) frac(25)(12) (C ) frac(13)(12) (D) frac(12)(5)

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

If p is a prime number greater than 3, then (p^(2)-1) is always divisible by (a) 6 but not 12 (b) 12 but not 24(c)24 (d) None of these