Statement 1:If a strong acid is added to a solution of potassium chromate it changes itscolour from yellow to orange.

Statement 2:The colour change is due to the oxidation of potassium chromate.

Total number of solutions of the equation 3x + 2 tan x = in x  [0, 2] is equal to

In this question, we use the graph of tanx . The intersection is the total number of solutions of this equation. The graph region is [ 0, 2π ].

The number of sigma bonds in  is:

Statement 1:Oxidation number of Ni in is zero.

Statement 2:Nickel is bonded to neutral ligand carbonyl.

Suppose equation is f(x) – g(x) = 0 of f(x) = g(x) = y say, then draw the graphs of y = f(x) and y = g(x). If graph of y = f(x) and y = g(x) cuts at one, two, three, ...., no points, then number of solutions are one, two, three, ...., zero respectively.

The number of solutions of sin x =  is

In this question, we have drawn the graph. The number of intersections of both function fx and gx are the number solutions. Draw the graph carefully and find the intersection points.

The first noble gas compound obtained was:

Statement 1:The redox titrations in which liberated   is used as oxidant are called as iodometric titrations
Statement 2:Addition of KI of  liberates  which is estimated against hypo solution.

 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