Home
Class 12
MATHS
Which of the following functions have th...

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

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If f(x + y) = f(x) +f(y), then the value of f(0)

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 graph of y=f(x) . Draw the graphs of the followin. (a) y=f(1-x) (b) y=-2f(x) (c) y=f(2x) (d) y=1-f(x)

If , f(x)="log"((1+x)/(1-x)) ,show that f(x)+f(y)=f((x+y)/(1+xy))

Determine the function satisfying f^2(x+y)=f^2(x)+f^2(y)AAx ,y in Rdot

If f(x+y)=f(x)f(y)AA x,y in R, f(0) ne 0 then F(x) = {f(x)/(1+(f(x)))^2 is

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

f(x)+f(y)=f((x+y)/(1-xy)) ,for all x,yinR . (xy!=1) ,and lim_(x->0) f(x)/x=2 .Find f(sqrt3) and f'(-2) .

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

If f(x)f(y) + 2 = f(x) + f(y) + f(xy) and f(1) = 2, f'(1) = 2, then find f(x).

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,...

    Text Solution

    |

  2. Which of the following functions are identical? (a)f(x)=1nx^2a n dg(x...

    Text Solution

    |

  3. Which of the following functions have the graph symmetrical about the ...

    Text Solution

    |

  4. The range of given function f(x)=^(7-x)P(x-3) is given by

    Text Solution

    |

  5. Let f(x)=max{1+sinx,1,1-cosx}, xin[0,2pi] and g(x)=max{1,|x-1|} x in R...

    Text Solution

    |

  6. If f(x) satisfies the relation f(x+y)=f(x)+f(y) for all x , y in R an...

    Text Solution

    |

  7. Let f(x)={(x^(2)-4x+3",",x lt 3),(x-4",", x ge 3):} and g(x)={(x-3"...

    Text Solution

    |

  8. Let f(x)=(3)/(4)x+1,f^(n)(x) be defined as f^(2)(x)=f(f(x)), and for n...

    Text Solution

    |

  9. If f:{1,2,3....}->{0,+-1,+-2...} is defined by f(n)={n/2, if n is ...

    Text Solution

    |

  10. If f: Rrarr[0,oo)is a function such that f(x-1)+f(x+1)=sqrt(3)f(x), th...

    Text Solution

    |

  11. If p and q are positive integers, f is a function defined for positive...

    Text Solution

    |

  12. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  13. Show that any function can be expressed as the sum of an odd function ...

    Text Solution

    |

  14. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  15. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  16. Let f(x)=log2 log3log4log5(sin x+a^2). Find the set of values of a for...

    Text Solution

    |

  17. Let f(x)={x^2-4x+3, ,x<3; x-4,xgeq3 a n d g(x)={x-3,x<4; x^2...

    Text Solution

    |

  18. If fa n dg are two distinct linear functions defined on R such that th...

    Text Solution

    |

  19. Let f(x)=x^2-2x ,x in R ,a n dg(x)=f(f(x)-1)+f(5-f(x))dot Show that ...

    Text Solution

    |

  20. Let f:XtoY be a function defined by f(x)=asin(x+pi/4)+bcosx+c. If f is...

    Text Solution

    |