molecule is completely changed into  molecules at:

Statement-I : If  and  then 
Statement-II : If sinA = sinB and cosA = cosB, then 

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason. Here, Start solving first Statement and try to prove it. Then solve the Statement-II.

Arsine is:

Statement-I : The equation sin(cos x) = cos(sin x) does not possess real roots.

Statement-II : If sin x > 0, then 

Statement-I : In (0, ), the number of solutions of the equation  is two

Statement-II :  is not defined at 

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason. Here, it has 5 solutions, but tanθ &tan3θ are not defined at , , . respectively so it remains only 2.

Statement-I : If sin x + cos x =  then 

Statement-II : AM ≥ GM

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason. Here, Start solving first Statement and try to prove it. Then solve the Statement-II. Always, the AM–GM inequality states that AM ≥ GM.

Statement-I : The number of real solutions of the equation sin x = 2^x + 2^–x is zero

Statement-II : Since |sin x| ≤ 1

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason. Here, -1 ≤ sinx  ≤ 1 for all value, remember that.

 if

 if

 if

 if

 if

In this question, we have to find the general solution of x. Here more than one option will correct. Remember the rules for finding the general solution.

Number of ordered pairs (a, x) satisfying the equation  is

The general solution of the equation,  is :

The noble gas used in atomic reactor ,is

Which compound does not give  on heating?