Home
Class 12
MATHS
In a group (G,**) for some element a of ...

In a group `(G,**)` for some element a of G `, a^(2) = e,` where e is the indentity element . Then

A

`a = sqrt(e)`

B

`a=e`

C

`a=a^(-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 5

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • MODEL TEST PAPER 9

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

The fourth element of a G.P is 8. The product of first seven elements is

If x, 2 x+2,3 x+3 are in G.P, then 5^(th) element is

Based on the group valency of elements state the formula for the following giving justification for each : (i) Oxides of 1^(st) group elements, (ii) Halides of the elements of group 13, and (iii) Compounds formed when an element of group 2 combines with, an element of group 16.

If S is the sum to infinity of a G.P, whose first element is a , then the sum of the first n elements is

The first and the n^(th) elements of a G.P are respectively a and b and P is the product of n elements, then P^(2)=

The first term of a G.P is 3 and 6^(th) element is (3)/(32), then if P is the product of 6 elements, then P^(2)=

Atoms of eight elements A, B, C, D, E, F, G and H have the same number of electronic shells but different in their outermost shells. It was found that elements A and G combine to form an ionic compound which can also be extracted from sea water. Oxides of the elements A and B are basic in nature while those of E and F are acidic. The oxide of elements D is almost neutral. Answer the following questions based on the information given here in : (i) To which group or period of the periodic table do the listed elements belong ? (ii) Which one of the eight elements is likely to be a noble gas? (iii) Which one of the eight elements would have the largest atomic radius ? (iv) Which two elements amongst these are likely to be the non-metals? (v) Which one of these eight elements is likely to be a semi-metal or metalloid ?

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 6 -MATHEMATICS
  1. Square matrices of the type [(x,x),(x,x)] form a group under the usual...

    Text Solution

    |

  2. Define ** on the set of real number by a ** b = 1 + ab. Then the opera...

    Text Solution

    |

  3. In a group (G,**) for some element a of G , a^(2) = e, where e is the ...

    Text Solution

    |

  4. The set of all integers is not a group under multiplication because

    Text Solution

    |

  5. The remainder obtained when 64xx 65 xx 66 is divided by 67 is

    Text Solution

    |

  6. A value of x satisfying 5x-=+3 ( mod 7 ) is

    Text Solution

    |

  7. The last digit of the number 11^(132) is

    Text Solution

    |

  8. Which of the following is a prime number?

    Text Solution

    |

  9. The value of K so that y=4x+K may touch the hyperbola (x^(2))/(64)-(y^...

    Text Solution

    |

  10. The eccentricity of the hyperbola 4x^(2)-9y^(2)-8x=32 is

    Text Solution

    |

  11. An ellipse slides between two straight lines at right angles to each o...

    Text Solution

    |

  12. In the ellipse 9x^(2)-5y^(2)=45 the distance between the foci is

    Text Solution

    |

  13. t(1) and t(2) are the parameters of the end-points f a focal chord of ...

    Text Solution

    |

  14. The vertex of the parabola y^(2)=x+4y+3 is

    Text Solution

    |

  15. The radical axis of the circles x^(2)+y^(2)+2x+2y+1=0and x^(2)+y^(...

    Text Solution

    |

  16. The equation of the circle described on the line joining the points (-...

    Text Solution

    |

  17. ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two parallel straight lines ...

    Text Solution

    |

  18. The angle between the lines 6x^(2)+5xy-6y^(2)=0 is

    Text Solution

    |

  19. If tan^(-1)3+tan^(-1)x=tan^(-1)8, then x=

    Text Solution

    |

  20. The general solution of tan 3x=1 is

    Text Solution

    |