Hi, Can you please work out the solutions for these questions I'm in desperate need of help:

COMPONENT 3: Point A[A,A2} and Point SIZE; B2} are points on the parabola y = x2 , A > Ci The two tangents at point A and B are perpendicular, another parabola is also shown above for {part F] the shaded region bounded by y = x2 and the tangents is for {part (3}. A} Show that the equation of the tangent to parabola y = x2 at Point MAN: is}: 2 Box o2 ? B} Show that the equation of the tangent to parabola y = x2 at Point 813.32} is |:Ierpendir.ularto;|.r = 2m: of is y = i 1 ? 2r; mu! o} Showthat 1:- = "1? 4r; D} Show that the above two tangents to parabola y = 1'2 intersect at 3- Point a\"; 1,4l] E} Find the length of AC and BC hence show that the area of 451431? is 2:E{i + 4oz} F} Does such a right angle exist for other parabola of the form y = kxz ? 1I.I'eriflgr your answer by two suitable 1uralues of k E R'il) { all positive real numbers except 1]: of 1your choice. G] Determine the value of a when the shaded region has a minimum area? H} Show that the triangle MBE' has minimum area when the 1uralue a is the same as that found in part g I) Let the minimum area of the shaded region be Q , in terms of ? find the minimum area of the region bounded by the parabola's y = =x and its perpendicular tangents x2 J) A parabola is defined by y = 402, a>0 A normal to the parabola at point m with x = - where ? > 0, cuts the otherside of the parabola at point n the region is bounded by the normal and the parabola has area=0 , sketch the parabola and the normal with the given sufficient information by similarity or otherwise find the values of f in terms of a such that has a minimum value