The sum of the hypotenuse and a side of ...

The sum of the hypotenuse and a side of a right angled triangle is constant . If the area of the triangle is maximum then the angle between the hypotenuse and the given side is

A

`pi//2`

B

`pi//3`

C

`pi//4`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

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 the hypotenuse and a side of a triangle are given. If the area of the triangle is maximum then the angle between them is

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

The hypotenuse of a right angled triangle is 'a'. If the area of triangle is maximum. Then the sides are a/sqrt2,a/sqrt2

The sum of hypotenuse and one side of right angled triangle is given. The area is maximum. Then the angle between the sides is pi//3

The sides of a right angled triangle are in A.P then they are in the ratio

Two sides of a triangle is given. If the area of a triangle is maximum, then show that the angle between the two sides is (pi)/(2) .

Example for the sides of a Right angled triangle is………….

The sum of the hypotenuse and one side of a right angled triangle is given, show that the angle between the sides, when the area is maximum is (pi)/(3) .

If the length of sides of right angled triangle are in A.P., then the sines of the acute angles are

The maximum area of a right angled triangle with hypotenuse h is

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

Find the triangle of the greatest area among the right triangles of a ...
Text Solution
|
The maximum area of triangle formed by a tangent line to the curve x^(...
Text Solution
|
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
|