The parabola x = y² + ay + b intersect the parabola x² = y at (1,1) right angle Which of the following is/are correct?
1. a=4, b= -4
2. a=2, b= -2
3. Equation of the director circle for the parabola x = y² + ay + b is 4x+1 = 0
4. Area enclosed by the parabola x = y² + ay + b and its latus rectum is 1/6