Figure shows rectangle ABCD. Points A and D are on the parabola `y = 2x^(2)-8`, and points B and C are on the parabola `y = 9-x^(2)`. If point B has coordinates `(-1.50, 6.75)`, what is the area of rectangle ABCD ?

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 (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).

If points A and B lie on x-axis and points C and D lie on the curve y=x^2-1 below the x-axis then maximum area of rectangle ABCD is

If points A and B lie on x-axis and points C and D lie on the curve y=x^2-1 below the x-axis then maximum area of rectangle ABCD is

The point on the parabola y^(2)=8x whose distance from the focus is 8 has x coordinate as

The point on the parabola y^(2)=8x whose distance from the focus is 8 has x coordinate as

The point on the parabola y^(2)=8 x whose distance from the focus is 8 , has x -coordinates

The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x - axis and vertices C and D lie on the parabola, y=x^(2)-1 below the x - axis, is :

y^(2)=4xandy^(2)=-8(x-a) intersect at points A and C. Points O(0,0), A,B (a,0), and c are concyclic. Tangents to the parabola y^(2)=4x at A and C intersect at point D and tangents to the parabola y^(2)=-8(x-a) intersect at point E. Then the area of quadrilateral DAEC is