Find The Number Of Solutions Of  when 

Number of solution of  is equal to:

Number of roots of 

The number of solution of the equation

where [.] denotes the greatest integer function is:

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

If point P(a, a²) lies on the same side as that of (α, β) with respect to line x + 2y – 3 = 0 then    

Find the values of x graphically which satisfy 

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

Find the values of x graphically which satisfy;

Function.