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 :

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 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

Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixed points on the parabola. Let C be a moving point on the parabola between Aa n dB such that the area of the triangle A B C is maximum. Then the coordinates of C are

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

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

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

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 B and C are points of interection of the parabola y=x^(2) and the circle x^(2)+(y-2)^(2)=8. The area of the triangle OBC, where O is the origin, is