Consider the following statements: 
STATEMENT: 1
 If  $\left[\sin x\right]+\left[\frac{x}{2\pi }\right]+\left[\frac{2x}{5\pi }\right]=\frac{9x}{10\pi }$  when the number of solutions in the interval 
(30, 40) is (where [.] is GIF) 2 
STATEMENT: 2
If (x² + x + 2)² – (a - 3) (x² + x + 1) (x² + x + 2) + (a - 4) (x² + x + 1)² = 0 has at least one real root, then the complete set of values of a is  $(5,\frac{19}{3}]$
STATEMENT: 3
Tangent and normal at the ends A and C of focal chord AC of parabola y² = 4x intersect at B and D, then minimum area of ABCD is 8 
The number of correct statements is