Home
Class 11
MATHS
Given below are two pairs of statements....

Given below are two pairs of statements. Combine these two statements using if and only if :
p: If a rectangle is a square, then all its four sides are equal. q : If all the four sides of a rectangle are equal, then the rectangle is a square.

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise EXERCISE|169 Videos
  • MATHEMATICAL MODELLING

    MODERN PUBLICATION|Exercise EXAMPLE|3 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE|319 Videos

Similar Questions

Explore conceptually related problems

If two adjacent sides of a rectangle are equal then it is called a ______.

Given below are pairs of statements. Combine them using ‘if and only if' : p: If two lines are parallel, then their slopes are equal. q: If the slopes of two lines are equal, then they are parallel.

Given below are two pairs of statements. Combine these two statements using if and only if : p : If the sum of digits of a number is divisible by 3, then the number is divisible by 3. q : If a number is divisible by 3, then the sum of its digits is divisible by 3.

Say True or False: The opposite sides of a rectangle are equal in length.

Two opposite sides of a rectangle are always congruent.

Given below are pairs of statements. Combine them using ‘if and only if' : p: if Anil is intelligent, then he scores 92%. q : If Anil scores 92%. then he is intelligent.

State whether True or False. All rectangles are squares

Rewrite the following statement in the form ‘p if and only if q’. r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

Rewrite the following statement in the form"p if and only if q":- r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

MODERN PUBLICATION-MATHEMATICAL REASONING-EXERCISE
  1. Given below are two pairs of statements. Combine these two statements ...

    Text Solution

    |

  2. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  3. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  4. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  5. Which of the following sentences are statement? Give reason for your a...

    Text Solution

    |

  6. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  7. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  8. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  9. Which of the following sentences are statement? Give reason for your a...

    Text Solution

    |

  10. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  11. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  12. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  13. Whether the following is statement or not ? Give reason for your answe...

    Text Solution

    |

  14. Classify the following statement as ‘true’ or ‘false’ : Congruent tr...

    Text Solution

    |

  15. Classify the following statement as ‘true’ or ‘false’ : 2+1=3.

    Text Solution

    |

  16. Classify the following statement as ‘true’ or ‘false’ : 2+7=6.

    Text Solution

    |

  17. Classify the following statement as ‘true’ or ‘false’ : 2+3<6.

    Text Solution

    |

  18. Classify the following statement as ‘true’ or ‘false’ : 17 is a prim...

    Text Solution

    |

  19. Classify the following statement as ‘true’ or ‘false’ : Number of wa...

    Text Solution

    |

  20. Classify the following statement as ‘true’ or ‘false’ : A triangle h...

    Text Solution

    |

  21. Classify the following statement as ‘true’ or ‘false’ : sin (A + B) ...

    Text Solution

    |