Home
Class 11
MATHS
Write the negation of the following stat...

Write the negation of the following statements and check whether the resulting statements are true,(i)         Australia is a continent.(ii)        There does not exist a quadrilateral which has all its sides equal,(iii)       Every natural number is greater than 0.(iv)       The sum of 3 and 4 is 9.

Text Solution

Verified by Experts

(i) false
Australia is not a continent (true)
(ii) false
there exist a quadrilateral which has all its side equal (true)
(iii) true
not every natural no is greater than zero (false)
(iv) false
sum of 3 & 4 is not 9. (true)
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT|Exercise MISCELLANEOUS EXERCISE|7 Videos
  • MATHEMATICAL REASONING

    NCERT|Exercise EXERCISE 14.5|5 Videos
  • MATHEMATICAL REASONING

    NCERT|Exercise EXERCISE 14.3|4 Videos
  • LINEAR INEQUALITIES

    NCERT|Exercise EXERCISE 6.2|10 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT|Exercise EXERCISE 7.2|5 Videos

Similar Questions

Explore conceptually related problems

Find the volume in cubic decimetre of each of the cubes whose side is (i)1.5m          (ii)  75cm        (iii)  2dm 5cm

How many diagonals does each of the following have? (i)A convex quadrilateral (ii)A regular hexagon             (iii)   A triangle

What is a regular polygon? State the name of a regular polygon of (i) 3 sides             (ii)  4 sides             (iii)  6 sides

The acute angle between the lines y=3 and y=sqrt(3)x+k is (A)   30 °   (B)   60 °    (C)   45 °   (D)   90 °   

When a die is thrown, list the outcomes of an event of getting (i)       (a) a prime number                 (b) not a prime number. (ii)       (a) a number greater than 5    (b) a number not greater than 5. 6. Find the probabilities of events given in question 2 .

If 2^33 is divided by 17 , then the remainder is (1)    15        (2)    2         (3)    4         (4)    9

Draw rough diagrams to illustrate the following: (i) Open curve         (ii) Closed curve

The number of integral pairs (x,y) satisfying the equation (x-y)^2+2y^2=27 is: a.    8 b.    7 c.    6 d.    5

If the difference between mean and m0de is 63, the difference between mean and median is 189           (b)  21          (c)  31.5          (d)  48.5

The measure of the angle between the internal and external bisectors of an angle is: (A)   60°     (B)   70°      (C)   80°      (D)   90°

NCERT-MATHEMATICAL REASONING-SOLVED EXAMPLES
  1. Identify the type of Or used in the following statements and cheek wh...

    Text Solution

    |

  2. Write the contra positive of the following statement:(i)         If a ...

    Text Solution

    |

  3. Write the negation of the following statements.(i) Both the diagonals...

    Text Solution

    |

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

    Text Solution

    |

  5. Check whether the following sentences are statements. Give reasons fo...

    Text Solution

    |

  6. Write the component statements of the following compound statements a...

    Text Solution

    |

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

    Text Solution

    |

  8. Find the component statements of the following compound statements. (...

    Text Solution

    |

  9. 5 Find the component statements of the following and check whether the...

    Text Solution

    |

  10. Verify by the method of contradiction. p:sqrt(7)is irrational.

    Text Solution

    |

  11. Check whether the following statement is true of false by proving its...

    Text Solution

    |

  12. Cheek whether Or used in the following compound statement is exclusiv...

    Text Solution

    |

  13. By giving a counter example, show that the following statement is fal...

    Text Solution

    |

  14. For each of the following compound statements, first identify the cor...

    Text Solution

    |

  15. Write the converse of the following statements.(i) If a number n is e...

    Text Solution

    |

  16. Check whether the following statement is true or not. If x, y in Zar...

    Text Solution

    |

  17. Given below are two pairs of statements. Combine these two statements...

    Text Solution

    |

  18. For the given statements identify the necessary and sufficient condit...

    Text Solution

    |

  19. Using the words necessary and sufficient rewrite the statement The in...

    Text Solution

    |

  20. Write the negation of the following statements:(i) p: For every real ...

    Text Solution

    |