Statement-1 : For any real number `x,(2x^(2))/(1+x^(4)_le1`
Statement-2: `A.M.gtG.M.`

Statement-1 : For any real number x,(2x^(2))/(1+x^(4)) le1 Statement-2: A.M.geG.M.

Statement-1 :The A.M. of series 1,2,4,8,16,…… 2^n is (2^(n+1)-1)/(n+1) Statement-2 : Arithmetic mean (A.M.) of ungrouped data is (Sigmax_i)/n where x_1,x_2 …. x_n are n numbers .

Statement-1 :The A.M. of series 1,2,4,8,16,…… 2^n is (2^(n+1)-1)/(n+1) Statement-2 : Arithmetic mean (A.M.) of ungrouped data is (Sigmax_i)/n where x_1,x_2 …. x_n are n numbers .

If positive numbers x, y, z satisfy x+y+z=1 then Statement 1: [((1-2x)+(1-2y)+(1-2z))/(3)]ge((1-2x)(1-2y)(1-2z))^(1//3) because Statement 2: For any three positive numbers a, b, c their A.M. ge G.M.

Statement 1. 2^(sinx)+2^(cosx)ge 2^(1-1/sqrt(2)) for all real x , Statement 2. For positive numbers, AMgeG.M. (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. 2^(sinx)+2^(cosx)ge 2^(1-1/sqrt(2)) for all real x , Statement 2. For positive numbers, AMgeG.M. (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Stament -1: If for any real x,2^(1+x)+2^(1-x),lamda and3^(x)+3^(-x) are three equidistant terms of an A.P., then lamdage3 . Statement -2: AMgeGM

Stament -1: If for any real x,2^(1+x)+2^(1-x),lamda and3^(x)+3^(-x) are three equidistant terms of an A.P., then lamdage3 . Statement -2: AMgeGM

Statement-1: tan22 (1/2)^(@) is a root of the equation (1+x^(2))/(1-x^(2)) = sqrt(2) . Statement-2: sin alpha = x+ k/x is possible for real value x if k le 1/4 . Statement -3: |sin nx| le n|sin x| is valid for all natural numbers n.

Statement-1: tan22 (1/2)^(@) is a root of the equation (1+x^(2))/(1-x^(2)) = sqrt(2) . Statement-2: sin alpha = x+ k/x is possible for real value x if k le 1/4 . Statement -3: |sin nx| le n|sin x| is valid for all natural numbers n.