Find the maximum area of a rectangle that can be inscribed in the ellipse . plz. explain in simple way.

Sketch the region bounded by the curves y=root of 5-x² and y=|x-1| and find its area

the locus of the foot of perpendicular drawn from the centre of the ellipseX²+ 3y²=6 on any tangent to it is

Using integration find the area of that part of circle x²+y²=16, which is exterior to the parabola y²=6x

find the area bounded by y²= 4x and x² = 4y

Draw a rough sketch of the region: y²= 6ax and x²+y²= 16a² and find the enclosed area using method of integration.

find the area of the region enclosed between the two circles x^2+y^2=4 and (x-2)^2+y^2=4

what is the integration of  xcotx

find the area bounded by parabolas y²=4ax and x²=4ay.

find the area of the region included between the parabola y2 = x and the line x + y =2

Find the area common to the circle x²+y²=16a² and the parabola y²=6ax.

prove that the curves y2 = 4x andd x2 = 4y divide the area of the square bounded by x=0 x=4 and y = 4 and y = 0 in three equal parts?

using integration find area of triangle with sides x-3y+3=0,x+2y-2=0,3x+y-11=0

calculate as a limit of sum limit 1 to 2 (3x2-1)

The slope of the line touching both the

Using integration finds the area of the region bounded by the triangle whose vertices are (–1, 0), (1, 3) and (3, 2).

find the ratio of the areas into which the curves y²=6x divides the region bounded by x²+y²=16

1) Find the point P on the parabola y^2 = 4ax such that area parabola, the X-axis and the tangent at P is equal to that of bounded by the parabola, the X-axis and the normal at P.

2) Find the area of the region bounded by C: y = tanx , tangent drawn at C at x = pie/4 and the x- axis.

The area of the circle x² + y² = 16 exterior to the parabola y² = 6x is

A.

B.

C.

D.

Find the area of the smaller part of the circle x² + y² = a² cut off by the line

using the method of integration.find the area of the region bounded by the lines 2x+y=4, 3x-2y=6 and  x-3y+5=0

find the area of a triangle whose vertices are a(1,3)b(2,5)c(3,4).

Find the area of the region bounded by the curve y² = 4x and the line x = 3

area bounded by curve y=6x-x2 nd y=x2-2x?

draw a rough sketch of the curve y = sqrt(3x+4) and find the area under the curve, above x-axis and between x=0 and x=4

Find the area of the circle 4x² + 4y² = 9 which is interior to the parabola x² = 4y

• using integeration find the area of the region

{(x,y): x² + y²

• show that the curves xy= a² and x²+y²= 2a² touch each other

Find the area of the region in the 1^st quadrant enclosed by the x-axis, the line x=3^1/2y and the circle X² + Y² = 4

Find the area of that part of circle x² +y² =16 which is exterior to the parabola y² =6x

using integration find the area of the region enclosed between the circles x² + y² = 1 and (x-1)² + y² =1

Find the area bounded by the curve y = 2cosx and the x-axis fromx = 0 to x = 2.

find the area of the parabola y²= 4ax bounded by its latus rectum

 find the area of the circle x2+y2=a2 by integration.