Home
Class 11
MATHS
Show that the statement For any real num...

Show that the statement For any real numbers `a\ a n d\ b ,\ a^2=b^2` implies that `a=b` is not true by giving a counter example

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    RD SHARMA ENGLISH|Exercise All Questions|101 Videos
  • MEASUREMENT OF ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|56 Videos

Similar Questions

Explore conceptually related problems

Show that the statement "For any real numbers a and b, a^(2) = b^(2) implies that a = b " is not true by giving a counter example.

Show that the statement For any real numbers a and b, a^2=b^2 implies that a = b is not true by giving a counter-example.

Show that the statement 'For any real numbers a and b, a^(2)=b^(2) implies that a = b is not true' by giving counter example.

By giving a counter example, show that the following statement is not true: p : if all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.

For any tow vectors a\ a n d\ b show that ( vec a+ vec b) ( vec a- vec b)=0 if | vec a|=| vec b|dot

Show that A nnB = A uuB implies A = B

By giving counter example show that following statement are false (a) p : Square of a real number is always integer (b) p : The equation x^2-9=0 does not have a root lying between 0 and 4

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If A ⊄ B \ a n d\ B⊄ C ,\ t h e n\ A ⊄ Cdot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If A subset B\ a n d\ B subset C ,\ t h e n\ A subset Cdot

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.(i) If x in A a n d A in B , t h e n x in B (ii) If A sub B a n d B in C then A in C

RD SHARMA ENGLISH-MATHEMATICAL REASONING-All Questions
  1. Show that the statement: p : If\ x is a real number such that x^3+4x=0...

    Text Solution

    |

  2. Show that he following statement is true by the method of contrapos...

    Text Solution

    |

  3. Using the words necessary and sufficient rewrite the statement The int...

    Text Solution

    |

  4. Verify by the method of contradiction that sqrt(7) is irrational.

    Text Solution

    |

  5. Check the validity of the statement given below by contradiction metho...

    Text Solution

    |

  6. Evaluate the following limit: (lim)(x->0)(x^2+1-cos x)/(xsinx)

    Text Solution

    |

  7. By giving an example, show that the following statement is false. If n...

    Text Solution

    |

  8. Show that the statement For any real numbers a\ a n d\ b ,\ a^2=b^2 im...

    Text Solution

    |

  9. Check the validity of the following statement: p : 100 is a multiple o...

    Text Solution

    |

  10. Check the validity of the following statement: r : 60 is a multiple of...

    Text Solution

    |

  11. Check the validity of the following statement: q : 125 is a multiple o...

    Text Solution

    |

  12. Check whether the following statement is true or not: p : If\ x\ a n d...

    Text Solution

    |

  13. Check whether the following statement is true or not: p : If x , y are...

    Text Solution

    |

  14. Show that the statement: p : If x is a real number such that x^3+x=0,\...

    Text Solution

    |

  15. Show that the following statement is true by the method of contrapos...

    Text Solution

    |

  16. Show that the following statement is true: The integer n is even if an...

    Text Solution

    |

  17. By giving a counter example, show that the following statement is not ...

    Text Solution

    |

  18. Which of the following statements are true and which have are false? I...

    Text Solution

    |

  19. Which of the following statements are true and which are false? In e...

    Text Solution

    |

  20. Determine whether the argument used to check the validity of the fol...

    Text Solution

    |