Home
Class 12
MATHS
If point (a,b) lies on the graph of func...

If point (a,b) lies on the graph of function f, which of the following points must lie on the graph of the inverse f?

A

(a,b)

B

(-a,b)

C

(a,-b)

D

(b,a)

Text Solution

Verified by Experts

The correct Answer is:
D

Since inverse sunctions are symmetric about the line y=x , if point (A,b) lies on f, point (b,a) must lie on `f^(-1)` [1]
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If f(-x) = -f(x) for all x and if the point (-2,3) is on the graph of f , which of the following points must also be on the graph of f ?

Functiuon g is related to function f by the equation g(x)=f(x-1)-2 . If the point (4,3) is on the graph of function f, what are the coordinates of the corresponding point on the graph of function g?

If the accomanying figure above shows the graph of function f, which of the following could represent the graph of y=f(x+1) ?

The graph of f(x) is shown above , Which of the following represents the graph of f(x-3) ?

Given the graph of y = f(x) , which of the following is graph of y =f(1-x)

If the graph above is that of f(x), which of the following could be f(x)?

The graph of the function y =f(x) . Then which of the following curve represent the graph of the function y= |f(x)|

Which of the following graphs are graphs of a function?

If f(x)=4x+2 , which of the following is the graph of f(x)?

The graph of the function f is shown above. Which of the following could represent the graph of y=|f(x)| ?

ENGLISH SAT-MODEL TEST 4-MCQ
  1. If point (a,b) lies on the graph of function f, which of the following...

    Text Solution

    |

  2. Harry had grades of 70,80,85 and 80 on his quizzers. If all quizzers h...

    Text Solution

    |

  3. If L is a line through (-1,3) and (4,2), for what value of k is (3,k) ...

    Text Solution

    |

  4. If logb x=p and logb y=q, then logb xy=

    Text Solution

    |

  5. The sum of the root of 3x^3+4x^2=4x=0 is

    Text Solution

    |

  6. If f(x)-1/x, then f(a)+f((1)/(a))=

    Text Solution

    |

  7. If f(x)=log(x+1), what is f^(-1)(3) ?

    Text Solution

    |

  8. If f(x)ge0 for all x, then f(2-x) is

    Text Solution

    |

  9. How many four-digit numbers can be formed from the numbers 0,2,4,8 if ...

    Text Solution

    |

  10. If x-1 is a factor of x^2+ax-4 , then a has the value

    Text Solution

    |

  11. If 10 coins are to be flipped and the first 5 all come up heads, what ...

    Text Solution

    |

  12. If i=sqrt1 and n is a positive integer, which of the following stateme...

    Text Solution

    |

  13. If logr 3=7.1, then logrsqrt3=

    Text Solution

    |

  14. If f(x)=4x^2 and g(x) =f(sin x)+f(cos x), then g(23^(@)) is

    Text Solution

    |

  15. What is the sum of the roots of the equation (x-sqrt2)(x^2-sqrt3x+pi)=...

    Text Solution

    |

  16. Which of the following equations has (have) graphes consisting of two ...

    Text Solution

    |

  17. If f(x)=(4-x)^2 and g(x)=sqrtx, then (g o f) (x)=

    Text Solution

    |

  18. In the figure above, if VO=VY, what is the slope of segment VO?

    Text Solution

    |

  19. A cylindrica bar of metal has a base radius of 2 and a height of 9. It...

    Text Solution

    |

  20. The graph of y=(x+2)(2x-3) can be expressed as a set of parametric equ...

    Text Solution

    |