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

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 :

From the point (3 0) 3- normals are drawn to the parabola y^2 = 4x . Feet of these normal are P ,Q ,R then area of triangle PQR is

Let the normals at points A(4a, -4a) and B(9a, -6a) on the parabola y^(2)=4ax meet at the point P. The equation of the nornal from P on y^(2)=4ax (other than PA and PB) is

If the normals at two points P and Q of a parabola y^2 = 4x intersect at a third point R on the parabola y^2 = 4x , then the product of the ordinates of P and Q is equal to