A parabola C with focus (0, 0) and passing through P(3,4). Equation of tangent at P to parabola is $3x + 4y – 25 = 0$. A chord through S parallel to the tangent at P intersects the parabola at A and B. Which of the following statements is (are) CORRECT ?

slope of  $SP=\frac{4}{3}$
slope of tangent at P is  $\frac{-3}{4}$
$\Rightarrow P$  is vertex of parabola
Axis of parabola is  4x – 3y = 0
 
AB = length of latus reaction = 4a
a = 5
AB = 20 units
LLR = 4a = 20 units
 
PM = 2a, then through M only one real normal can be drawn i,o., along axis of parabola