Visualizing Conics from Right Circular Cone

Q. The equation
$25[x^2+y^2-2x+1]=(4x-3y+1{)}^2$ represents

1. Parabola
2. Circle
3. Pair of straight line
4. None of these

Q. The focii of the parabolas $y^2=4x,x^2=4y,y^2+4x=0,x^2+4y=0$ taken in order will form the vertices of a

1. rectangle
2. parallelogram
3. rhombus
4. square