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

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.

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    PSEB|Exercise EXERCISE|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    PSEB|Exercise EXERCISE|53 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” in not true by giving a counter example.

Show that the statement p: “If x is a real number such that x^3 + 4x = 0 , then x is 0” is true by method of contradiction.

Show that the statement p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by method of contrapositive.

For any two real numbers, an operation '*' defined by a*b = 1 + ab is

AB=AC implies B=C .

Show that the relation R in the set R of real numbers defined as : R = {(a,b) : a le b^2) is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R of real numbers, defined as R = {(a, b) : a le b^2} , is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R of real number defined as R = {(a, b): a le b^2} is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R of real number defined by R = {(a, b) : a le b }, is reflexive and transitive but not symmetric.

Show that the relation R in the set R of real numbers defined as R = {(a, b) : a le b} , is reflexive and transitive but not symmetric.

PSEB-MATHEMATICAL REASONING-EXERCISE
  1. Show that the statement p: “If x is a real number such that x^3 + 4x =...

    Text Solution

    |

  2. Show that the statement p: “If x is a real number such that x3 + 4x = ...

    Text Solution

    |

  3. Show that the statement “For any real numbers a and b, a^2 = b^2 impli...

    Text Solution

    |

  4. Show that the following statement is true by the method of contraposit...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Is the following statement is true or false? In each case give a valid...

    Text Solution

    |

  8. Is the following statement is true or false? In each case give a valid...

    Text Solution

    |

  9. Is the following statement is true or false? In each case give a valid...

    Text Solution

    |

  10. Is the following statement is true or false? In each case give a valid...

    Text Solution

    |

  11. Is the following statement is true or false? In each case give a valid...

    Text Solution

    |

  12. Write the negation of the following statement:- p: For every positive...

    Text Solution

    |

  13. Write the negation of the following statement:- q: All cats scratch.

    Text Solution

    |

  14. Write the negation of the following statement:- r: For every real num...

    Text Solution

    |

  15. Write the negation of the following statement:- s: There exists a num...

    Text Solution

    |

  16. State the converse and contrapositive of the following statement : p: ...

    Text Solution

    |

  17. State the converse and contrapositive of the following statement : q: ...

    Text Solution

    |

  18. State the converse and contrapositive of the following statement : r: ...

    Text Solution

    |

  19. Write the statement in the form “if p, then q" :- p: It is necessary t...

    Text Solution

    |

  20. Write the statement in the form “if p, then q" :- q: There is traffic ...

    Text Solution

    |