Normals are drawn at point P,Q,R lying on parabola y 2 =4x which intersect at (3,0) then area of △PQR is :-

Normals are drawn at points A, B, and C on the parabola y^2 = 4x which intersect at P. The locus of the point P if the slope of the line joining the feet of two of them is 2, is

Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which intersect the axis of the parabola at A and B respectively. If C is the centre of the circle through the points P,A and B and angle CPB=theta then the value of tan theta is

If normal are drawn from a point P(h , k) to the parabola y^2=4a x , then the sum of the intercepts which the normals cut-off from the axis of the parabola is

If the two tangents drawn from a point P to the parabola y^(2) = 4x are at right angles then the locus of P is

Three normals are drawn from the point (7, 14) to the parabola x^2-8x-16 y=0 . Find the coordinates of the feet of the normals.

y^(2)=4xandy^(2)=-8(x-a) intersect at points A and C. Points O(0,0), A,B (a,0), and c are concyclic. Tangents to the parabola y^(2)=4x at A and C intersect at point D and tangents to the parabola y^(2)=-8(x-a) intersect at point E. Then the area of quadrilateral DAEC is

The tangent at any point P onthe parabola y^2=4a x intersects the y-axis at Qdot Then tangent to the circumcircle of triangle P Q S(S is the focus) at Q is

If three distinct normals can be drawn to the parabola y^2-2y=4x-9 from the point (2a ,b) , then find the range of the value of adot

From the point (15, 12), three normals are drawn to the parabola y^2=4x . Then centroid and triangle formed by three co-normals points is (A) ((16)/3,0) (B) (4,0) (C) ((26)/3,0) (D) (6,0)