Consider the parabola `y^(2)=4x` .A=(4,-4) and B=(9,6) "be two fixed point on the parabola"." Let 'C' be a moving point on the parabola between "A" and "B" such that the area of the triangle ABC is maximum then the co-ordinate of 'C' is

Consider the parabola y^(2)=4x. Let A-=(4,-4) and B-=(9,6) be two fixed points on the parabola.Let C be a moving point on the parabola.Let C be a moving that the area of the triangle ABC is maximum.Then the coordinates of C are ((1)/(4),1)(b)(4,4)(3,(2)/(sqrt(3)))(d)(3,-2sqrt(3))

Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C be chosen on the on the arc AOB of the parabola where O is the origin such that the area of DeltaACB is maximum. Then the area (in sq. units) of DeltaACB is :

Consider the parabola y^(2)=4x , let P and Q be two points (4,-4) and (9,6) on the parabola. Let R be a moving point on the arc of the parabola whose x-coordinate is between P and Q. If the maximum area of triangle PQR is K, then (4K)^(1//3) is equal to

If P is a point on the parabola y = x^2+ 4 which is closest to the straight line y = 4x – 1, then the co-ordinates of P are :

Let P(4,-4) and Q(9,6) be two points on the parabola, y^2=4x and let X be any point on the are POQ of this parabola, where O is the vertex of this parabola, such that the area of Delta PXQ is maximum. Then this maximum area (in square units) is (25k)/(4) . The value of k is

Let (a,b) be a point on the parabola y=4x-x^(2) and is the point nearest to the point A(-1,4) Find (a+b).

A triangle ABC is inscribed in the parabola y^(2)=4x such that A lies at the vertex of the parabola and BC is a focal chord of the parabola with one extremity at (9,6), the centroid of the triangle ABC lies at

The normals at point A and B on y^(2)=4ax meet the parabola at C on the same parabola then the locus of orthocenter of triangle ABC is