The hypotenuse of a right angled triangl...

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

Topper's Solved these Questions

MAXIMA & MINIMA
AAKASH SERIES|Exercise EXERCISE-I|31 Videos
MAXIMA & MINIMA
AAKASH SERIES|Exercise EXERCISE-II|88 Videos
MAXIMA & MINIMA
AAKASH SERIES|Exercise ADDITIONAL EXERCISE|35 Videos
MATRICES
AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos
MAXIMA AND MINIMA
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

A point on the hypotenuse of a right angle triangle is at a distance of 'a' and 'b' units from the sides. Then the least value of the hypotenuse is

The hypotenuse of a right angled triangle is 3 m more than twice of the shortest side. If the third side is 1 m less than the hypotenuse find the sides of the triangle.

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by

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) .

AAKASH SERIES-MAXIMA & MINIMA-SYNOPSIS

The minimum value of f(x)=atanx+bcotx" is "2sqrt(ab) and " attains at ...
Text Solution
|
The minimum value oof f(x)=a^2sec^2x+b^2cosec^2x is (a+b)^2 and attain...
Text Solution
|
The minimum value of f(x)=asecx+bcosecx is (a^(2//3)+b^(2//3))^(3//2) ...
Text Solution
|
The sum of two numbers is k, the least sum of their squares is K^2//2
Text Solution
|
The sum of two numbers is K. If their product is maximum, then the num...
Text Solution
|
The product of two positive numbers is K. If the sum of their squares ...
Text Solution
|
Sum of two numbers is k. If the product of the square of the first and...
Text Solution
|
If agt0,bgt0,xgt0 the least value of f(x)=ax+b/x" is "2sqrt(ab)
Text Solution
|
If x gt 0 then the least value of x +1/x is
Text Solution
|
The triangle of maximum area that can be inscribed in a circle is
Text Solution
|
The maximum area of the rectangle that can be inscribed in a circle of...
Text Solution
|
The maximum triangle inscribed in a circle is equilateral triangle
Text Solution
|
The maximum area of a triangle inscribed in a circle is a circle of ra...
Text Solution
|
The perimeter of a sector is 'C' cms. Then maximum area of sector is C...
Text Solution
|
If the perimeter of a sector of a circle is constant then find the ang...
Text Solution
|
The hypotenuse of a right angled triangle is 'a'. If the area of trian...
Text Solution
|
Two sides of a triangle is given . If the area of a triangle is maximu...
Text Solution
|
The sum of hypotenuse and one side of right angled triangle is given. ...
Text Solution
|
An open box of maximum volume is made from a square piece of tin of si...
Text Solution
|
Area of the largest rectangle that can be inscribed in the ellipse (x^...
Text Solution
|