Let A(4,-4) and B(9,6) be pointson theparabola y^(2)=4x. LetC bechosen on theon the arc AOBof t...

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

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))

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

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

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 A(4,-4) and B(9,6) lies on y^(2)=4x and a point C on arc AOB(O= or ig in) such that the area of /_ACB is maximum then point c is (1)((1)/(4),1) (2) (1,(1)/(4))(3)(1,(1)/(2)) (4) ((1)/(2),1)

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).

Let L be a normal to the parabola y^(2)=4x. If L passes through the point (9,6) then L is given by