If (x+c)/(1+x^2) where c is a constant ,...

If `(x+c)/(1+x^2)` where c is a constant , then when y is stationary , xy is equal to

A

`1//2`

B

`3//4`

C

`5//8`

D

1

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

MAXIMA AND MINIMA
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
MAXIMA AND MINIMA
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos
MATHEMATICAL REASONING
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos
MEASURES OF CENTRAL TENDENCY
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C , where C is a constant of integration, then g(-1) is equal to

"If"int(dx)/(x^(3)(1+x^(6))^(2/3))=xf(x)(1+x^(6))^(1/3)+C where, C is a constant of integration, then the function f(x) is equal to

If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C , where C is a constant of integration, then f(x) is equal to

If the solution of the differential equation (1+e^((x)/(y)))dx+e^((x)/(y))(1-(x)/(y))dy=0 is x+kye^((x)/(y))=C (where, C is an arbitrary constant), then the value of k is equal to

If the solution of the differential equation y^(3)x^(2)cos(x^(3))dx+sin(x^(3))y^(2)dy=(x)/(3)dx is 2sin(x^(3))y^(k)=x^(2)+C (where C is an arbitrary constant), then the value of k is equal to

If the value of integral int(x+sqrt(x^2 -1))^(2)dx = ax^3 - x + b(x^2 - 1)^(1/b), +C (where, C is the constant of integration), then a xx b is equal to

If int x^(26).(x-1)^(17).(5x-3)dx=(x^(27).(x-1)^(18))/(k)+C where C is a constant of integration, then the value of k is equal to

If the solution of the differential equation x^2dy + 2xy dx = sin x dx is x^(k)y + cos x = C (where C is an arbitrary constant), then the value of k is equal to

int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C where C is constant of integration. Then f (x) is equal to:

If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of integration then f(x) equals:

OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Exercise

Find minimum value of px+qy where p>0, q>0, x>0, y>0 when xy=r,^2 with...
Text Solution
|
The maximum slope of curve y =-x^(3)+3x^(2)+9x-27 is
Text Solution
|
If (x+c)/(1+x^2) where c is a constant , then when y is stationary , x...
Text Solution
|
N Characters of information are held on magnetic tape, in batches of x...
Text Solution
|
Statement I If A gt 0 , B gt 0 and A+B= pi/3, then the maximum value o...
Text Solution
|
The largest value of 2x^(3)-3x^(2)-12x+5 for -2 le x le 2 occurs when
Text Solution
|
The first and second order derivatives of a function f(x) exit at all ...
Text Solution
|
The minimum value of 2^(x^2-3)^(3) +27 is 2^(27) (b) 2 (c) 1 (d) ...
Text Solution
|
Let f(x) =cosx sin2x. Then , min (f(x):-pilexlepi) is
Text Solution
|
If f(x)=sin^6x+cos^6x , then which one of the following is false
Text Solution
|
The value of a for which the function f(x)=asinx+(1/3)sin3x has an ext...
Text Solution
|
If ax+b/x >= c for all positive x, where a, b, c > 0, then-
Text Solution
|
The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...
Text Solution
|
The points of extremum of phi (x)=int(1)^(x)e^(-t^(2//2)) (1-t^(2)) dt...
Text Solution
|
Let f(x)=int0^x (cost)/tdt Then at x=(2n+1)pi/2 f(x) has
Text Solution
|
It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...
Text Solution
|
The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is
Text Solution
|
The minimum value of (x-a)(x-b) is
Text Solution
|
The altitude of a right circular cone of minimum volume circumscired a...
Text Solution
|
If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...
Text Solution
|