Home
Class 12
MATHS
If the graph of the function y = f(x) is...

If the graph of the function y = f(x) is symmetrical about the line x = 2, then

A

`f(x) = f(-x)`

B

`f(2+x) = f(2-x)`

C

`f(x+2) =f(x-2)`

D

`f(x) =-f(-x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|20 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

If the graph of a function f(x is symmetrical about the line x = a, then

y=f(x) be a real valued function with domain as all real numbers.If the graph of the function is symmetrical about the line x=1 then for all alpha in R

Let f(x)=sqrt(x^(4)+15), then the gragh of the function y=f(x) is symmetrical about

If the graph of y=f(x) is symmetrical about the lines x=1andx=2, then which of the following is true? (a) f(x+1)=f(x)( b) f(x+3)=f(x)(c)f(x+2)=f(x)(d) None of these

If the garph of the function f(x)=ax^(3)+x^(2)+bx+c is symmetric about the line x = 2, then the value of a+b is equal to

If the graph of the function is symmetric about y-axis, then n is equal to :

If the function f(x) is symmetric about the line x=3 , then the value of the integral I=int_(-2)^(8)(f(x))/(f(x)+f(6-x))dx is

The graph of the function f(x)=-2^(-|x|)

If f(x)=f(2a-x) then the graph of f(x) is symmetric about the line

If the graph of y=ax^(3)+bx^(2)+cx+d is symmetric about the line x=K then the value of a+K is (y is not a constant function)

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

    Text Solution

    |

  2. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

    Text Solution

    |

  3. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  4. Let R = {(3, 3), (6, 6), (9, 9), (6, 12), (3, 9), (3, 12), (3, 6)} is ...

    Text Solution

    |

  5. A ral valued functin f (x) satisfies the functional equation f (x-y)=f...

    Text Solution

    |

  6. Let w denotes the set of words in the English dictionary. Define the r...

    Text Solution

    |

  7. The largest interval lying in (-pi/2,pi/2) for which the function [...

    Text Solution

    |

  8. Let R be the real line. Consider the following subsets of the plane...

    Text Solution

    |

  9. Let f"":""NvecY be a function defined as f""(x)""=""4x""+""3 , wher...

    Text Solution

    |

  10. If A,B and C are three sets such that A cap B = A cap C and A cup B = ...

    Text Solution

    |

  11. Consider the following relations: R = {(x, y) | x, y are real numbers ...

    Text Solution

    |

  12. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  13. Let A and B be two sets containing 2 elements and 4 elements respec...

    Text Solution

    |

  14. Let P be the relation defined on the set of all real numbers such tha...

    Text Solution

    |

  15. Let f(n) =[1/3 + (3n)/100]n, whre [x] denotes the greatest integer le...

    Text Solution

    |

  16. The function f(x) =|sin 4x| + cos|2x| s a periodic function with perio...

    Text Solution

    |

  17. Let f : R to R be defined by f(x) =(|x| -1)/(|x|+1) is

    Text Solution

    |

  18. The relation on the set A={x|x|<3,x,in Z} is defined by R={(x,y);y=|x|...

    Text Solution

    |

  19. Let A and B be two sets containing four and two elements respective...

    Text Solution

    |

  20. In a certain town 25% families own a phone and 15% own a car, 65% fami...

    Text Solution

    |