Home
Class 11
MATHS
Write the contrapositive and converse st...

Write the contrapositive and converse statement of the following statement ,Comment wheather the converse statement are True or False
Kaveri can solve the problem , so she is an intelligent girl.

Text Solution

Verified by Experts

The contrapositive of the given statement is:
If the diagonals of a quadrilateral are not equal then the quadrilateral is not rectangle.
The converse of the given statement is:
If thediagonals of a quarilateral are equal then the quadrilateral is not rectangle The converse of the given statements is:
If the diagonals of a quadiralateral are equal, then the quadrilateral is a rectangle.
A square is a quadrilateral whose diagonals are not equal.
So it is false.
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    PATHFINDER|Exercise QUESTION BANK|88 Videos
  • MEASUREMENT OF ANGLES & TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|25 Videos

Similar Questions

Explore conceptually related problems

Write the contrapositive and converse statement of the following statement ,Comment wheather the converse statement are Tue or False . "A number is divisible by 3 if and only if the sumof its digits is is divisible by 3"

Write the contrapositive and converse statement of the following statement ,Comment wheather the converse statement are Tue or False . If a quadrilateral is a rectangle,then its diagonals are equal.

Write the contrapositive and converse of the following statements. If x is a prime number, then x is odd.

Write the contrapositive and converse of the following statements. Something is cold implies that it has low temperature.

Write the contrapositive and converse of the following statements. x is an even number implies that x is divisible by 4.

Indicate the quantifiers in the following statements and comment whether the statement are True or False. For all real numbers x, x^2gt0

What do you mean by contrapositive and converse of a conditional statement ?

Write the negation of the following statements and check whether the resulting statements are true or false : Kolkata is the capital of India .

Write the contrapositive and converse of the following statements. If the two lines are parallel, then they do not intersect in the same plane.

Write the negation of the following statements and check whether the resulting statements are true or false : All triangles are not isosceles .

PATHFINDER-MATHEMATICAL REASONING-QUESTION BANK
  1. Write the truth value of the following compound statements"12-9i(i=sqr...

    Text Solution

    |

  2. Write the converse conradiction and contrapositive of the statement" t...

    Text Solution

    |

  3. Write the negation of the following compound statements:"All the stude...

    Text Solution

    |

  4. Find the component statements of the compound statements: " There is s...

    Text Solution

    |

  5. Check the validity of the compound statement "square of an integer is ...

    Text Solution

    |

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

    Text Solution

    |

  7. Indicate the quantifier in the following statements and comment whethe...

    Text Solution

    |

  8. Indicate the quantifiers in the following statements and comment wheth...

    Text Solution

    |

  9. Check whether the following statement is true or false by proving its ...

    Text Solution

    |

  10. Show that that the following statement are true by the method of conta...

    Text Solution

    |

  11. Show that that the following statement are true by the method of conta...

    Text Solution

    |

  12. Write the simple statements contains the following compound mathematic...

    Text Solution

    |

  13. Write the simple statements contains the following compound mathematic...

    Text Solution

    |

  14. Write the contrapositive and converse statement of the following state...

    Text Solution

    |

  15. Write the contrapositive and converse statement of the following state...

    Text Solution

    |

  16. Write the contrapositive and converse statement of the following state...

    Text Solution

    |

  17. Verify by the method of contradiction that sqrt7 is irrational.

    Text Solution

    |

  18. Check the validity of the statements given below by contradiction meth...

    Text Solution

    |

  19. By giving an example, show that the following is false: "If n is an od...

    Text Solution

    |

  20. By contradiction Method , Prove n^2gt16 where ngt4 and n is any real ...

    Text Solution

    |