Normal at the point A(2, -4) intersect the parabola `y^(2)=8x` at the point B. If the tangents at A and B meet at point R. If the area of `DeltaABC` is 16k, then k is _________.

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at eh point

The normal to the parabola y^(2)=8ax at the point (2, 4) meets the parabola again at the point

The point of intersection of normals to the parabola y^(2) = 4x at the points whose ordinates are 4 and 6 is

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

Show that the line x- y +4=0 is tangent to the parabola y^(2)= 16x . Find the point of contact.

The tangent and the normal at the point A-= (4, 4) to the parabola y^2 = 4x , intersect the x-axis at the point B and C respectively. The equation to the circumcircle of DeltaABC is (A) x^2 + y^2 - 4x - 6y=0 (B) x^2 + y^2 - 4x + 6y = 0 (C) x^2 + y^2 + 4x - 6y = 0 (D) none of these

The tangent and normal at the point p(18, 12) of the parabola y^(2)=8x intersects the x-axis at the point A and B respectively. The equation of the circle through P, A and B is given by

The points of contact of the tangents drawn from the point (4, 6) to the parabola y^(2) = 8x

The angle between the tangents to the parabola y^(2)=4ax at the points where it intersects with the line x-y-a= 0 is

If the tangent at the point P(2,4) to the parabola y^2=8x meets the parabola y^2=8x+5 at Q and R , then find the midpoint of chord Q Rdot