Question

Find the number of solutions of  when 

Solution

Correct option is

4

As we know the graph of both (x) = 2cos x and g(x) = |sin x|

∴ Their point of intersection are number of solutions

Thus from the above graph the two functions intersect at two points between [0, 2π] and we know cos x is periodic with period 2π, so it has same number of solutions for the interval [2π, 4π]

∴ Total number of solutions of

                        

                                                

SIMILAR QUESTIONS

Q1

Number of solution of  is equal to:

Q2

Number of roots of 

Q3
Q4

The number of solution of the equation

               

where [.] denotes the greatest integer function is:

Q5

The graph of the function y = (x) has a unique tangent at (ea, 0) through which the graph passes then 

Q6

If point P(aa2) lies on the same side as that of (α, β) with respect to line x + 2y – 3 = 0 then    

Q7

Find the values of x graphically which satisfy 

Q8

 

Find the value of x graphically satisfying [x] – 1 + x2 ≥ 0; where [.] denotes the greatest integer function.

 

Q9

Find the values of x graphically which satisfy;

Function.