The line `x-y-1=0` meets the parabola `y^2 = 4x` at A and B. Normals at A and B meet at C. If D CD is normal at D, then the co-ordinates of D are

The line x-y-1=0 meets the parabola y^(2)=4x at A and B .Normals at A and B meet at C. If DCD is normal at D, then the co- ordinates of D are

If a line x+ y =1 cut the parabola y^2 = 4ax in points A and B and normals drawn at A and B meet at C. The normals to the parabola from C other than above two meets the parabola in D, then point D is : (A) (a,a) (B) (2a,2a) (C) (3a,3a) (D) (4a,4a)

if the line 4x+3y+1=0 meets the parabola y^(2)=8x then the mid point of the chord is

If the line 5x-4y-12=0 meets the parabola x^(2)-8y in A and B then the point of intersection of the two tangents at A and B is

Let x+alpha y-1=0, alpha in R be a variable chord of parabola y^2=4x. which cuts the parabola at A and . If normal at A and B meet at C, then locus of c may be (A) x+y^2+3=0 (B) x-y^2+3=0 (C) x-y^2-3=0 (D) x+y^2-3=0

Normal to the parabola y^(2)=8x at the point P(2,4) meets the parabola again at the point Q . If C is the centre of the circle described on PQ as diameter then the coordinates of the image of point C in the line y=x are

The normal meet the parabola y^(2)=4ax at that point where the abscissa of the point is equal to the ordinate of the point is

A normal drawn to the parabola y^2=4a x meets the curve again at Q such that the angle subtended by P Q at the vertex is 90^0dot Then the coordinates of P can be (a)(8a ,4sqrt(2)a) (b) (8a ,4a) (c)(2a ,-2sqrt(2)a) (d) (2a ,2sqrt(2)a)