`bb"Statement-1" 3+7i gt 2+4i, " where " i=sqrt(-1).`
`bb"Statement-2 " 3 gt 2 " and " 7 gt 4`

Which statement is correct.? bb"statement-1" (cos theta+isin theta)^(3)=cos 3theta+isin 3theta, i=sqrt(-1) bb"statement-2" (cos""pi/4+isin""pi/4)^(2)=i

bb"Statement I" The range of log(1/(1+x^(2))) " is " (-infty,infty) . bb"Statement II" " when " 0 lt x le 1, log x in (-infty,0].

Statement-1: 0 lt x lt y rArr "log"_(a) x gt "log"_(a) y, where a gt 1 Statement-2: "When" a gt 1, "log"_(a) x is an increasing function.

Statement-1 : If x^("log"_(x) (3-x)^(2)) = 25, then x =-2 Statement-2: a^("log"_(a) x) = x,"if" a gt 0, x gt 0 " and " a ne 1

Statement-1 : The mean deviation of the numbers 3,4,5,6,7 is 1.2 Statement-2 : Mean deviation = (Sigma_(i=1)^(n) |x_i-barx|)/n .

Statement-1: 3^("log"_(2) 7) -7^("log"_(2)3) = 0 Statement-2: x^("log"_(a)y) = y^("log"_(a)x), " where "x gt 0, y gt 0" and "a gt 0, a ne 1

If the complex number z is to satisfy abs(z)=3, abs(z-{a(1+i)-i}) le 3 and abs(z+2a-(a+1)i) gt 3 , where i=sqrt(-1) simultaneously for atleast one z, then find all a in R .

f is a function defined on the interval [-1,1] such that f(sin2x)=sinx+cosx. bb"Statement I" If x in [-pi/4,pi/4] , then f(tan^(2)x)=secx bb "Statement II" f(x)=sqrt(1+x), forall x in [-1,1]

Statement-I If eccentricity of a hyperbola is 2, then eccentricity of its conjugate hyperbola is (2)/(sqrt(3)) . Statement-II if e and e_1 are the eccentricities of two conjugate hyperbolas, then ee_1gt1 .