Home
Class 12
MATHS
Write the negation of the following stat...

Write the negation of the following statements and check whether the resulting statements are true or false
(i) p : Diagonals of a square are equal
(ii) q : Irrational number are natural numbers
(iii) r : There are infinite even prime number

Text Solution

AI Generated Solution

To solve the problem, we need to find the negation of each given statement and then determine whether the negated statements are true or false. Let's go through each statement step by step. ### Step 1: Negation of Statement P **Original Statement (p):** The diagonals of a square are equal. **Negation:** The diagonals of a square are not equal. **Truth Value:** This statement is false because, in reality, the diagonals of a square are indeed equal. ...
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-A) (Objective type Questions (Only one answer))|50 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-B) (Objective type Questions (Only one answer))|10 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos
  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

Similar Questions

Explore conceptually related problems

Write the negation of the following statements and check whether the resulting statements are true: The sum of 2 and 5 is 9.

Write the negation of the following statement and check whether the resulting statement are true: Australia is a continent.

Write the negation of the following statements and check whether the resulting statements are true: Every natural number is greater than 0.

Write the negation of the following statement and check whether the a resulting statement is true: There does not exist a quadrilateral which has all its sides equal.

Write the negation of the following statements. r : All natural number are integers.

Write the negation of the following statement: All complex numbers are real numbers.

Write the negative of the following statements and chheck whether the resulting statements are true or false (i) The product of 4 and 8 is 12 (ii) Number of prime numbers are infinite (iii) China is a continent (iv) There does not exits a triangle has all its sides equal (v) All the angles of a regular polygon are equal

Write the negation of the following statement: Every natural number is an integer.

Write the component statements of the following compound statements and check whether the compound statement is true or false: 125 is a multiple of 7 or 8.

Write the negation of the following statement: There is a complex number which is not a real number.

AAKASH INSTITUTE ENGLISH-MATHEMATICAL REASONING-Try Yourself
  1. Which of the following sentences are statement ? (i) Cow is the onl...

    Text Solution

    |

  2. Check whether the following sentences are statement or not also provid...

    Text Solution

    |

  3. Write the negation of the following statements (i) sqrt(13) is ratio...

    Text Solution

    |

  4. Write the negation of the following statements and check whether the r...

    Text Solution

    |

  5. Find the component statement of the following compound statement , Che...

    Text Solution

    |

  6. Write the component statement of the following statement and check whe...

    Text Solution

    |

  7. For each of the following statement , determine whether an inclusive "...

    Text Solution

    |

  8. Identify the type of OR used in following statement and check whether ...

    Text Solution

    |

  9. Identify the quantifier in the following statement and write the negat...

    Text Solution

    |

  10. Rewrite the following statement with "if then" in five different ways...

    Text Solution

    |

  11. Write contrapositive of the following statement (i) If an Indian is ...

    Text Solution

    |

  12. Write the converse of the following statement (a) If H. C. F. of (a,...

    Text Solution

    |

  13. Given below are two pairs of statement , combine these two statement u...

    Text Solution

    |

  14. Check the validity of given statement (a) r : 31 is odd and prime nu...

    Text Solution

    |

  15. Check the validity of the following statement p : 77 is a multiple o...

    Text Solution

    |

  16. (i) Check the validity of given statement r : A triangle is isoscele...

    Text Solution

    |

  17. (i) Verify by method of contradicition p : There are infinitely many...

    Text Solution

    |

  18. By giving counter example show that following statement are false (a...

    Text Solution

    |