A triangular park is enclosed on two sid...

A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x. The maximum area enclosed by the park is

`1/2 x^2`

`pi x^2`

`3/2 x^2`

`sqrt(x^3)/8`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
ADDITION OF VECTORS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
BINOMIAL THEOREM
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The sum of any two sides of a triangle must be __ the third side.

The sum of lengths of any two sides of a triangle is ............. the third side of the triangle.

The lengths of the two larger sides of a triangle are 10 and 9. If the angles are in A.P, then the length of the third side can be

A rectangle is inscribed in a equilaternal triangle of side length 2a units . The maximum area of this rectangle can be

Two sides of a triangle is given . If the area of a triangle is maximum, then the angle between the two sides is

Two sides of a right triangle are 3cm and 4cm then the third side is ……….cm.

Equilateral triangle are drawn on the three sides of a right angled Triangle. Show that the area of the Triangle on the hypotenuse is equal to the sum of the areas of triangle on the other two sides.

IF 4,5 are two sides of a triangle and the included angle is 60^@ , then its area is

A triangle has sides 6,7 and 8. The line through its incentre parallel to the shortest side is drawn to meet the other two sides at P and Q. Then find the length of the segment [PQ] (where [.] is g.i.f

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)

The sum of the hypotenuse and a side of a right angled triangle is con...
Text Solution
|
Two sides of a triangle is given . If the area of a triangle is maximu...
Text Solution
|
A triangular park is enclosed on two sides by a fence and on the third...
Text Solution
|
The point P in the first quadrant of the ellipse x^2//8 +y^2//18 =1 so...
Text Solution
|
A straight line through the point (3,4) in the first quadrant meets th...
Text Solution
|
Through the point (2,3) ,a straight line is drawn making, positive int...
Text Solution
|
The perimeter of a sector is given. The area is maximum when the angle...
Text Solution
|
If the perimeter of a sector of a circle is constant then find the ang...
Text Solution
|
Twenty meters of wire is available to fence off a flower bed in the fo...
Text Solution
|
A wire of length 20 cm can be bent in the form of a sector then its ma...
Text Solution
|
A box is made from a piece of metal sheet 24 cms square by cutting equ...
Text Solution
|
An open top box of maximum possible volume from a square piece of tin ...
Text Solution
|
From a rectangular sheet of dimensions 30cm times 80cm, four squares o...
Text Solution
|
The strength of a beam varies as the product of its breadth b and squ...
Text Solution
|
The height of the cylinder of maximum volume which can be inscribed i...
Text Solution
|
The radius of right circular cylinder of maximum volume which can be i...
Text Solution
|
The maximum volume of the cylinder which can be inscribed in a sphere ...
Text Solution
|
The volume of the greatest cylinder which can be inscribed in a cone o...
Text Solution
|
The height and the radius of the base of a cylinder of maximum volume,...
Text Solution
|
The dimensions of the greatest cylinder that can be inscribed in a sph...
Text Solution
|