The point of intersection of the tangents of the parabola `y^(2)=4x` drawn at the end point of the chord x+y=2 lies on

The point of intersection of the tangents of the parabola y^(2)=4x drawn at the endpoints of the chord x+y=2 lies on (a)x-2y=0 (b) x+2y=0( c) y-x=0 (d) x+y=0

The point of intersection of the tangent to the parabola y^(2)=4x which also touches x^(2)+y^(2)=(1)/(2) is

5.The locus of point of intersection of two tangents to the parabola y^(2)=4x such that their chord of contact subtends a right angle at the vertex is

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

The locus of point of trisections of the focal chord of the parabola,y^(2)=4x is :

Consider the chords of the parabola y^(2)=4x which touches the hyperbola x^(2)-y^(2)=1 , the locus of the point of intersection of tangents drawn to the parabola at the extremitites of such chords is a conic section having latursrectum lambda , the value of lambda , is

The point of intersection of the tangents at the ends of the latus rectum of the parabola y^(2)=4x is

Statement-1: Point of intersection of the tangents drawn to the parabola x^(2)=4y at (4,4) and (-4,4) lies on the y-axis. Statement-2: Tangents drawn at the extremities of the latus rectum of the parabola x^(2)=4y intersect on the axis of the parabola.

How to find the equation of tangents drawn to a parabola y^(2)=4x from a point (-8,0)?

Statement 1: The point of intersection of the tangents at three distinct points A,B, and C on the parabola y^(2)=4x can be collinear. Statement 2: If a line L does not intersect the parabola y^(2)=4x, then from every point of the line,two tangents can be drawn to the parabola.