Let `a=i^i` and consider the following statements `S_1: a=e^(-pi/2)`, `S_2`:The value of `sin(In a)-1`, `Im(a)+arg(a)=0` Now identify the correct combination of the true statements.

On the basis of Arrhenius equation, consider the following statement (s) I. E_(a) is activation energy. II. Unit of E_(a) is j mol^(-1) III. R is gas constant. Which of these is/are true statement(s)?

Consider the following statements S_(1) : The total of terms in (x^(2)+2x+4)^(10) is 21 S_(2): The coefficient of x^(10) in (x^(2)+(1)/(x))^(20) is .^(20)C_(10) . S_(3) : The middle term in the expansion of (1+x)^(12) is .^(12)C_(6)x^(6) S_(4) : If the coefficients of fifth and ninth term in the expansion of (1+x)^(n) are same, then n=12 Now identify the correct combination of true statements.

Consider the following statements S_(1) : The total of terms in (x^(2)+2x+4)^(10) is 21 S_(2): The coefficient of x^(10) in (x^(2)+(1)/(x))^(20) is .^(20)C_(10) . S_(3) : The middle term in the expansion of (1+x)^(12) is .^(12)C_(6)x^(6) S_(4) : If the coefficients of fifth and ninth term in the expansion of (1+x)^(n) are same, then n=12 Now identify the correct combination of true statements.

On the basis of Arrhenius equation, consider the following statement(s). I. E_a is activation energy. II. Unit of E_a is "J mol"^(-1) III. R is gas constant. Which of these is/are true statement(s)?

Consider the following statement : 1. tan^(-1)1 + tan^(-1) (0.5) = pi//2 2. sin^(-1)(1//3) + cos^(-1)(1//3) = pi//2 Which of the above statement is/are correct ?

Let [], and {} denotes the greatest integer function and fractional function, consider the following statements. S_(1) : The range of ({x})/(1+{x}) is [0, (1)/(2)) S_(2) : The range of [(1)/(sin {x})] is Z^(+) S_(3) : The range of (x^(2) + 2)/(x^(2) + 3) is [(2)/(3), 1) S_(4) : The range of sin sqrt((pi^(2))/(16) - x^(2)) is [0, (1)/(sqrt(2))] Which of the following is the combination of true statements ?

The following questions consist of two statements, one labelled as 'Statement I' and the other 'Statement II'. You have to examine these two statements carefully and decide if the Statement I and the Statement II, are individually true and if so, whether the Statement II is the correct explanation for the given Statement I. Select your answer to these items using the codes given below and then select the correct option. Statement 1 : sin^(-1)(sin5) gt x^(2)-4x has many solutions lying in the interval (2-sqrt(9-2pi), 2+sqrt(9-2pi)) Statement 2 : Sin^(-1)(Sin5)=5-2pi

Consider the following statements 1. Alkali metals are soft. 2. Alkali metals show high reactivity 3. I.E of alkali metal decreases down the group Which of the following statement(s) given above is/ are correct?

Consider the following statements I. tan^(-1)1+tan^(-1)(0.5)=pi//2 II. sin^(-1)(1//3)+Cos^(-1)(1//3)=(pi)/(2) Which of the above statement(s) is/are correct?