xgt0,ygt0 and x+y=1. The minimum value o...

`xgt0,ygt0` and `x+y=1`. The minimum value of `xlogx+ylogy` is

A

2 log2

B

log2

C

0

D

`-log2`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

If xgt0,ygt0 and x+y=1, then find the minimum value of x log x + y log y.

The minimum value of 2log_10x-log_x0.01. xgt1 , is

If xgt0,ygt0andxy=25 , find the minimum value of x+y.

The maximum value of (1/x)^x, xgt0 is

If x>0,y>0 and xy= 100, find the minimum value of (x+y)

If gt0,ygt0 " and " xy=25 , then find the minimum value of x+y .

Let x and y be two real variable such that x >0 and x y=1 . Find the minimum value of x+y .

Let x and y be two variables and x gt 0 , xy=1 , then the minimum value of x+y is-

Let x and y be two variables and x gt 0, xy=1, then the minimum value of (x+y) is-

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK

The function f defined by f(x)=4x^4-2x+1 is increasing for
Text Solution
|
The value of a for which the functionf(x)=asinx+1/3sin3x has an extrem...
Text Solution
|
xgt0,ygt0 and x+y=1. The minimum value of xlogx+ylogy is
Text Solution
|
The minimum value of 2log10x-logx0.01. xgt1, is
Text Solution
|
The maximum slope of the curve y=-x^3+3x^2+2x-27 is
Text Solution
|
For the function f(x)=xe^x, the point
Text Solution
|
The minimum value of logax+logxa,0ltxlta, is
Text Solution
|
The sides of the rectangle of the greatest area, that can be inscribed...
Text Solution
|
Tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the mi...
Text Solution
|
The tangent to the curve y=e^x drawn at the point (c,e^c) intersects t...
Text Solution
|
The curves x^2/a+y^2/b=1and x^2/a1+y^2/b1=1 will cut orthogonally if ...
Text Solution
|
If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off ...
Text Solution
|
The normal to the curve x=a(costheta+thetasintheta),y=a(sintheta-theta...
Text Solution
|
The distance between the origin and the normal to the curve y=e^(2x)+x...
Text Solution
|
Let g(x)={(2e,if,xle1),(log(x-1),if,xgt1):} The equation of the normal...
Text Solution
|
The intercepts on x-axis made by tangents to the curve, oversetxunders...
Text Solution
|
The Rolle's thorem is applicable in the interval -1lexle1 for the func...
Text Solution
|
A value of 'c' for which the conclusion of mean value theorem holds fo...
Text Solution
|
A value of ‘c’ for which conclusion of Mean Value Theorem holds for th...
Text Solution
|
If f(x)=x^3+bx^2+cx+d and 0ltb^2ltc then in (-oo,oo)
Text Solution
|