Home
Class 12
MATHS
The family of curves represented by (dy)...

The family of curves represented by `(dy)/(dx)=(x^(2)+x+1)/(y^(2)+y+1)` and the family represented by `(dy)/(dx)+(y^(2)+y+1)/(x^(2)+x+1)=0`

A

`2(x^(3)-y^(3))+3(x^(2)-y^(2))+6(x-y)=c`

B

`2(x^(3)-y^(3))+3(x^(2)+y^(2))+6(x-y)=c`

C

`2(x^(3)-y^(3))+3(y^(2)-x^(2))+6(y-x)=c`

D

`2(x^(3)-y^(3))-3(x^(2)-y^(2))+6(x-y)=c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT - CET EXAM QUESTIONS)|13 Videos

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

  • CONTINUITY F FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|131 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

Similar Questions

Explore conceptually related problems

(dy)/(dx)=2((y+2)^(2))/((x+y-1)^(2))

x(2y-1)dx+(x^(2)+1)dy=0

(dy)/(dx)=(x+y+1)/(2x+2y+3)

(y-x(dy)/(dx))=3(1-x^(2)(dy)/(dx))

(dy)/(dx) + (1)/(x) * y = x ^(2)

(1+x^(2))dy=y^(2)dx

The differential equation (dy)/(dx) = (x(1+y^(2)))/(y(1+x^(2)) represents a family of

Orthogonal trajectories of the family of curves represented by x^(2)+2y^(2)-y+c=0 is (A) y^(2)=a(4x-1)(B)y^(2)=a(4x^(2)-1)(C)x^(2)=a(4y-1)(D)x^(2)=a(4y^(2)-1)