The total area of a page is 150c m^2dot ...

The total area of a page is `150c m^2dot` The combined width of the margin at the top and bottom is `3c m` and the side 2cm. What must be the dimensions of the page in order that the area of the printed matter may be maximum?

Text Solution

Verified by Experts

The correct Answer is:

`(sqrt((bA)/(a)-b)) (sqrt((aA)/(b)-a)`

Topper's Solved these Questions

DIFFERENTIAL CALCULUS 2
VMC MODULES ENGLISH|Exercise Level -2|69 Videos
DIFFERENTIAL CALCULUS 2
VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos
DIFFERENTIAL CALCULUS 2
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
DIFFERENTIAL EQUATIONS
VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

The total area of page is 150 cm^(2) . The combined width of the margin at the top and bottom is 3 cm and the side 2 cm. What must be the dimensions of the page in order that the area of the printed matter may be maximum ?

The area of a circle is 154 c m^2dot Find the radius of the circle.

The area of a circle is 616 c m^2dot Find the radius of the circle.

A printed page is to have total area of 80 sq. cm with a margin of 2 cm at the top and on each side and a margin of 2.5cm at the bottom. What should be the dimensions of the page so that the printed area will be maximum?

A sheet of poster has its area 18 m^(2) . The margin at the top & bottom are 75 cms and at the sides 50 cms. Let e, n are the dimensions of the poster in meters when the area of the printed space is maximum . The value of e ^(2) +n^(2) is _________ .

The area of a rectangle is 225 c m^2 and its one side is 25cm, find its other side.

The area of a rectangle is 240\ c m^2dot If its length is 20cm, find its breadth.

The area of a rectangle is 120 c m^2dot If the breadth is 6cm, then its length is.........

The volume of a cube is 1, 000\ c m^3dot Find its total surface area.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1

Let f(x)=8x^(3)-6x^(2)-2x+1, then
Text Solution
|
Show that semi-vertical angle of a cone of maximum volume and given sl...
Text Solution
|
Show that semi-vertical angle of right circular cone of given total su...
Text Solution
|
A window is in the shape of a rectangle surmounted by a semi circle. I...
Text Solution
|
A window of perimeter P (including the base of the arch) is in the ...
Text Solution
|
about to only mathematics
Text Solution
|
The total area of a page is 150c m^2dot The combined width of the marg...
Text Solution
|
In a submarine telegraph cable the speed of signaling varies as x^2log...
Text Solution
|
A wire of length l is cut into two parts. One part is bent into a circ...
Text Solution
|
A running track of 440 ft is to be laid out enclosing a football field...
Text Solution
|
If a cone of maximum volume is inscribed in a given sphere, then th...
Text Solution
|
Find the maimum distacne of norma to ellipse (x^(2))/(a^(2))+(y^(2))/(...
Text Solution
|
If a circle of radius 'a' inside an equilateral triangle, then prove t...
Text Solution
|
A metal box with a square base and vertical sides is to contain 102...
Text Solution
|
Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...
Text Solution
|
A window is in the shape of a rectangle surmounted by a semi circle. I...
Text Solution
|
The height of a right circular cylinder of maxium volume inscribed in ...
Text Solution
|
All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...
Text Solution
|
The difference between the greatest and least value of the functions, ...
Text Solution
|
If f(x)=a(0)+a(1)x^(2)+a(2)x^(4)+...+ a(n)x^(2n) be a polynomial where...
Text Solution
|