doubts ....

1) Any ordinate NP of an ellipse meets the auxiliary circle at Q.Then locus of the intersection of the normals at P and Q is ??

2)AB is a double ordinate of the parabola y²=4ax .Tangents drawn to the parabola at A and B meet y-axis at A1 and B1 respectively .If the area of the trapezium AA1BB1 is equal to 12a2,then angle subtended by A1B1 at the focus of the parabola is equal to ??

3)If a+b+c=0 , then the equation 3ax2+2bx+c=0 has in the interval (0,1)
a)at least one root
b)at most one root
c)no root