Home
Class 12
MATHS
Which one of the following function(s) i...

Which one of the following function(s) is/are homogeneous? `(a) f(x,y)= (x-y)/(x^2 + y^2)` (b) `f(x,y)= x^(1/3)y^(-2/3)tan^-1(x/y)` (c) `f(x,y)=x(lnsqrt(x^2+y^2)-lny)+ye^(x/y)` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Which of the following functions have the graph symmetrical about the origin? (a) f(x) given by f(x)+f(y)=f((x+y)/(1-x y)) (b) f(x) given by f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2)) (c) f(x) given by f(x+y)=f(x)+f(y)AAx , y in R (d) none of these

Let f(x)=|x-1|dot Then (a) f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c) f(|x|)=|f(x)| (d) none of these

Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+f(x-y)= (A) 2f(x).f(y) (B) f(x).f(y) (C) f(x)/f(y) (D) none of these

Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+f(x-y)= 2f(x)dotf(y) (b) f(x)dotf(y) (f(x))/(f(y)) (d) none of these

If a function satisfies (x-y) f(x+y)-(x+y) f(x-y) = 2(x^2y - y^3), AA x, y in R and f(1) = 2, then

If y = f(x) = (x+2)/(x-1) then

A function f: R -> R satisfies the equation f(x)f(y)-f(x y)=x+yAAx ,y in Ra n df(1)>0 , then a. f(x)f^(-1)(x)=x^2-4 b. f(x)f^(-1)(x)=x^2-6 c. f(x)f^(-1)(x)=x^2-1 d. none of these

A function satisfies the conditions f(x+y)=f(x) + f(y), AA x, y in R then f is

If f (x/y)= f(x)/f(y) , AA y, f (y)!=0 and f' (1) = 2 , find f(x) .

If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)

    Text Solution

    |

  2. For the differential equation whose solution is (x-h)^2+(y-k)^2=a^2 (a...

    Text Solution

    |

  3. Which one of the following function(s) is/are homogeneous? (a) f(x,y...

    Text Solution

    |

  4. The solution of the differential equation (e^(x^2)+e^(y^2))y(dy)/(dx...

    Text Solution

    |

  5. The solution of the differential equation y^(primeprimeprime)-8y^(prim...

    Text Solution

    |

  6. Differential equation of the family of curves v=A/r+B , where A and ...

    Text Solution

    |

  7. The function f(theta)=d/(d(theta))int0^theta(dx)/(1-costhetacosx) sat...

    Text Solution

    |

  8. The differential equation of the curve x/(c-1)+y/(c+1)=1 is

    Text Solution

    |

  9. The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/...

    Text Solution

    |

  10. Which of the following equation(s) is/are linear? (a) dy/dx+y/x=lnx(b)...

    Text Solution

    |

  11. The equation of the curve satisfying the differential equation y((d...

    Text Solution

    |

  12. Find a pair of curves such that (a)   the tangents drawn at poin...

    Text Solution

    |

  13. If y1 and y2 are two solutions to the differential equation (dy)/(dx...

    Text Solution

    |

  14. If y1 and y2 are the solution of the differential equation (dy)/(dx)...

    Text Solution

    |

  15. Let the function ln f(x) is defined where f(x) exists for 2 geq x an...

    Text Solution

    |

  16. The degree of the differential equation satisfying sqrt(1-x^2)+sqrt...

    Text Solution

    |

  17. The force of resistance encountered by water on a motor boat of mas...

    Text Solution

    |

  18. A cyclist moving on a level road at 4 m/s stops pedalling and lets the...

    Text Solution

    |

  19. Given two curves: y=f(x) passing through the point (0,1) and g(x)=...

    Text Solution

    |

  20. The differential equation of the family of curves y=e^x(Acosx+Bsinx), ...

    Text Solution

    |