Home
Class 11
MATHS
Check the validity of the statement give...

Check the validity of the statement given below by the method given against it:- p: The sum of an irrational number and a rational number is irrational (by contradiction method).

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

Check the validity of the statement given below by the method given against it. The sum of an irrational number and a rational number is irrational.

Check the validity of the statement given below by the method given against it. q: If n is areal number when n > 3 then n^2 > 9 .

The product of a non-zero rational number and an irrational number is irrational.

The square of an irrational number is always rational.

Check the validity of the statement given below by the method given against it:- q: If n is a real number with n > 3, then n^2 > 9 (by contradiction method).

The product of a non-zero rational and irrational number is

Write the difference of an irrational and a rational number.

All the rational numbers are irrational also.

Explain, how irrational number differ from rational number.

PSEB-MATHEMATICAL REASONING-EXERCISE
  1. Is the following statement is true or false? In each case give a valid...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Write the statement in the form “if p, then q" :- r: You can access th...

    Text Solution

    |

  14. Rewrite the following statement in the form"p if and only if q":- p: I...

    Text Solution

    |

  15. Rewrite the following statement in the form"p if and only if q":- q: F...

    Text Solution

    |

  16. Rewrite the following statement in the form"p if and only if q":- r: I...

    Text Solution

    |

  17. Given below are two statements p : 25 is a multiple of 5. q :...

    Text Solution

    |

  18. Check the validity of the statement given below by the method given ag...

    Text Solution

    |

  19. Check the validity of the statement given below by the method given ag...

    Text Solution

    |

  20. Write the following statement in five different ways, conveying the sa...

    Text Solution

    |