Home
Class 12
MATHS
Find the identity element , if it exists...

Find the identity element , if it exists for the following operation . Also find the inverse if it exists.
On R defined `a"*" b = sqrt(a^(2)-b^(2)),|a| gt |b|`.

Text Solution

Verified by Experts

The correct Answer is:
Does not exists.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|64 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|54 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 1|20 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Find the identity element , if it exists for the following operation . Also find the inverse if it exists. On Z defined a"*" b = a + b - 2 .

Find the identity element , if it exists for the following operation . Also find the inverse if it exists. On Q -{0} defined a"*" b = (ab)/2 .

Find the identity element , if it exists for the following operation . Also find the inverse if it exists. On R - {1} defined a"*" b = a+b - ab .

Find the identity element , if it exists for the following operation . Also find the inverse if it exists. On Q - {-1} defined a"*" b = a +b +ab.

Find the identity element , if it exists for the following operation . Also find the inverse if it exists. On P(X) defined A"*" B = Acap B , where X ne phi .

Find the identity element , if it exists for the following operation . Also find the inverse if it exists. On P(X) defined A"*" B = Acup B , where X ne phi .

In each of the following find the equation of the circle with centre (-a, -b) and radius sqrt(a^(2)-b^(2))

Find the roots of the following quadratic equations, if they exist. 2x^(2)+x-4=0

Find which of the operations given above has identity. a"*"b=a^(2)+b^(2)

** is a binary operation on the set Q. a"*"b = (2a+b)/4 then find 2"*"3 .

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Practice Work
  1. ** be a binary operation on R defined by a"*"b = (a)/(4)+b/(7) , a,b...

    Text Solution

    |

  2. Show that addition and multiplication are associative binary operation...

    Text Solution

    |

  3. Find the identity element , if it exists for the following operation ....

    Text Solution

    |

  4. Find the identity element , if it exists for the following operation ....

    Text Solution

    |

  5. Find the identity element , if it exists for the following operation ....

    Text Solution

    |

  6. Find the identity element , if it exists for the following operation ....

    Text Solution

    |

  7. Find the identity element , if it exists for the following operation ....

    Text Solution

    |

  8. Find the identity element , if it exists for the following operation ....

    Text Solution

    |

  9. Find the identity element , if it exists for the following operation ....

    Text Solution

    |

  10. On R - {-1}, a binary operation ** defined by a"*"b = a + b +ab then f...

    Text Solution

    |

  11. ** be a binary operation on a set {0,1,2,3,4} defined by a**b={(a+b,...

    Text Solution

    |

  12. On Z ** defined by a**b = a+b+1 . Is ** associative ? Find identity el...

    Text Solution

    |

  13. ** be binary operation defined on a set R by a**b=a+b-(ab)^2. Show tha...

    Text Solution

    |

  14. A binary operation ** be defined on the set R by a**b = a+b +ab. Show ...

    Text Solution

    |

  15. Show that if f: A rarr B and g: B rarr C are onto, then gof: A rarr ...

    Text Solution

    |

  16. Show that if f: A rarr B and g: B rarr C are one- one, then gof: A ra...

    Text Solution

    |

  17. f : R rarr R , f(x) = cos x and g : R rarr R , g(x) = 3x^(2) then fin...

    Text Solution

    |

  18. Check the injectivity and surjectivity of the following function . f...

    Text Solution

    |

  19. Check the injectivity and surjectivity of the following function . f...

    Text Solution

    |

  20. Check the injectivity and surjectivity of the following function . f...

    Text Solution

    |