Find two positive numbers whose sum is 1...

Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
NCERT GUJARATI|Exercise EXERCISE 6.1|18 Videos
APPLICATION OF DERIVATIVES
NCERT GUJARATI|Exercise EXERCISE 6.2|23 Videos
APPLICATION OF INTEGRALS
NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.

Find four consecutive terms in AP whose sum is 20 and the sum of whose squares is 120.

Find two numbers whose sum is 27 and product is 182.

Find two numbers whose sum is 24 and whose product is as large as possible.

Find two consecutive positive odd integers, sum of whose squares is 290.

Find two positive numbers whose difference is 12 and whose A.M. exceeds the G.M. by 2.

Four numbers are in A.P. If their sum is 20 and the sum of their squares is 120, then the middle terms are

NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.6

Find two positive numbers whose sum is 15 and the sum of whose squa...
Text Solution
|
Using differentials, find the approximate value of each of the followi...
Text Solution
|
Show that the function given by f(x)=(logx)/xhas maximum at x = e.
Text Solution
|
The two equal sides of an isosceles triangle with fixed base b are ...
Text Solution
|
Find the equation of the normal to curve x^2=4ywhich passes through t...
Text Solution
|
Show that the normal at any point theta to the curve x=acostheta+at...
Text Solution
|
Find the intervals in which the function f given by f(x)=(4sinx-2x-x c...
Text Solution
|
Find the intervals in which the function f given by f(x)=\ x^3+1/(...
Text Solution
|
Find the maximum area of an isosceles triangle inscribed in the ellip...
Text Solution
|
A tank with rectangular base and rectangular sides, open at the top...
Text Solution
|
The sum of the perimeter of a circle and square is k, where k is so...
Text Solution
|
A window is in the form of a rectangle surmounted by a semicircular...
Text Solution
|
A point on the hypotenuse of a triangle is at distance a and b from t...
Text Solution
|
Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...
Text Solution
|
Find the absolute maximum and minimum values of the function f give...
Text Solution
|
Show that the altitude of the right circular cone of maximum volume...
Text Solution
|
Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...
Text Solution
|
Show that the height of the cylinder of maximum volume that can be ...
Text Solution
|
Show that height of the cylinder of greatest volume which can be insc...
Text Solution
|
A cylindrical tank of radius 10 m is being filled with wheat at the r...
Text Solution
|
The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...
Text Solution
|