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?

In the interval  the equation  has

In this question, we have to find type of solution, here, we know if  then we can take antilog, b = c^a, and cos² θ = 1 – 2 sin² θ . Remember these terms and find the solution easily.

If ,then

In this question, we have to find the where is θ lies. Here, always true for sinx ≥ 0 otherwise it is true for x=0,,,2π and since we also need x≠, for tanx and x≠0,2π for cotx all the solutions.

Number of solutions of the equation  in the interval [0, 2] is :

If ,then

In this question, we have given equation, where we have to find where the θ belongs. For all value of sin θ cos θ = so θ always lies between ( 0 ,  ) .

If 

The most general solution of the equations  is

The general solution of the equation,  is

The most general solution of cot = and cosec = – 2 is :

In this question, we have given cotθ = -√3 and cosecθ = -2. Where θ for both is -π/6 and then write the general solution.

Let S =  The sun of all distinct solution of the equation 

A wave motion has the function The graph in figure shows how the displacement at a fixed point varies with time Which one of the labelled points shows a displacement equal to that at the position at time