Home
Class 12
MATHS
Let g(x) be a function defined on[-1,1]d...

Let `g(x)` be a function defined on`[-1,1]dot` If the area of the equilateral triangle with two of its vertices at `(0,0)a n d(x ,g(x))` is `(sqrt(3))/4` , then the function `g(x)` is `g(x)=+-sqrt(1-x^2)` `g(x)=sqrt(1-x^2)` `g(x)=-sqrt(1-x^2)` `g(x)=sqrt(1+x^2)`

A

`g(x)=+-sqrt((1-x^(2)))`

B

`g(x)=sqrt((1-x^(2)))`

C

`g(x)=-sqrt((1-x^(2)))`

D

`g(x)=sqrt((1+x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B, C

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise HLP_TYPE|38 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Let g(x) be a function defined on [-1,1]dot If the area of the equilateral triangle with two of its vertices at (0,0) a n d (x ,g(x)) is (a) (sqrt(3))/4 , then the function g(x) is (b) g(x)=+-sqrt(1-x^2) (c) g(x)=sqrt(1-x^2) (d) g(x)=-sqrt(1-x^2) g(x)=sqrt(1+x^2)

f(x)=1/abs(x), g(x)=sqrt(x^(-2))

f(x)=sqrt(1-x^(2)), g(x)=sqrt(1-x)*sqrt(1+x) . Identical functions or not?

If f(x) = sqrt(2-x) and g(x) = sqrt(1-2x) , then the domain of fog (x) is

Suppose that g(x)=1+sqrt(x) and f(g(x))=3+2sqrt(x)+xdot Then find the function f(x)dot

Suppose that g(x)=1+sqrt(x) " and " f(g(x))=3+2sqrt(x)+x. Then find the function f(x) .

If f(x)=sqrt(x^(2)-1) and g(x)=(10)/(x+2) , then g(f(3)) =

If f(x)=sin^2x and the composite function g(f(x))=|sinx| , then g(x) is equal to (a) sqrt(x-1) (b) sqrt(x) (c) sqrt(x+1) (d) -sqrt(x)

Let g (x )=f ( x- sqrt( 1-x ^(2))) and f ' (x) =1-x ^(2) then g'(x) equal to:

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SSP
  1. Let L be the set of all lines in a plane and let R be a relation defin...

    Text Solution

    |

  2. Let R be a relation on the set of all lines in a plane defined by (...

    Text Solution

    |

  3. Let g(x) be a function defined on[-1,1]dot If the area of the equilate...

    Text Solution

    |

  4. Represent all possible functions from {alpha, beta} to {1,2}.

    Text Solution

    |

  5. Find the domain of following function: f(x)=1/(log(2-x))+sqrt(x+1)

    Text Solution

    |

  6. Find the domain of following function: f(x)=sqrt(1-x)-"sin^(-1)((2x-1)...

    Text Solution

    |

  7. Find domain and range of following function: y=x^(3)

    Text Solution

    |

  8. Find domain and range of following function: y=(x^(2)-2x+5)/(x^(2)+2x+...

    Text Solution

    |

  9. Find domain and range of following function: y=1/(sqrt(x^(2)-x))

    Text Solution

    |

  10. Following each of the following function find whether it is one-one o...

    Text Solution

    |

  11. Examine whether the following functions are one-one, many-one or into,...

    Text Solution

    |

  12. Examine whether the following functions are one-one, many-one or into,...

    Text Solution

    |

  13. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  14. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  15. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

    Text Solution

    |

  16. Define fog(x) and gof(x). Also find their domain and range. f(x) = tan...

    Text Solution

    |

  17. f(x)=e^x : R^+ ->R and g(x)=x^2-x : R->R Find domain and range of fog...

    Text Solution

    |

  18. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  19. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  20. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |