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

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.

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

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.

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.

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.

In the given figures which of the following two lines are parallel and why?

Two lines parallel to the same line are ........... to each other.

If two parallel lines are cut by a transversal then corresponding angles are equal.

Two lines, which are both parallel to the same line, are parallel to each other, prove that.

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

MODERN PUBLICATION-MATHEMATICAL REASONING-EXERCISE
  1. Write the contrapositve and converse of the following statements If ...

    Text Solution

    |

  2. Write the contrapositve and converse of the following statements Som...

    Text Solution

    |

  3. Write the contrapositive and converse of the following statement : Y...

    Text Solution

    |

  4. Write the contrapositve and converse of the following statements x i...

    Text Solution

    |

  5. State the converse and contrapositive of the following statements p:...

    Text Solution

    |

  6. State the converse and contrapositive of the following statements q:...

    Text Solution

    |

  7. Given the following statement : If a quadrilateral is a parallelogra...

    Text Solution

    |

  8. Given the following statement : If the diagonals of a quadrilateral ...

    Text Solution

    |

  9. Given the following statement : If the diagonals of a quadrilateral ...

    Text Solution

    |

  10. Rewrite each of the following statements in the form p if and only if ...

    Text Solution

    |

  11. Rewrite each of the following statements in the form p if and only if ...

    Text Solution

    |

  12. Rewrite the following statement in the form ‘p if and only if q’. r...

    Text Solution

    |

  13. p: If a tumbler is half empty then it is half full q: if a tumbler is ...

    Text Solution

    |

  14. Given below are pairs of statements. Combine them using ‘if and only i...

    Text Solution

    |

  15. Given below are pairs of statements. Combine them using ‘if and only i...

    Text Solution

    |

  16. Determine the truth value of the following statement : 3+3 =6 iff 2+...

    Text Solution

    |

  17. Determine the truth value of the following statement : 3+3 =6 iff 4+...

    Text Solution

    |

  18. Determine the truth value of the following statement : 3+3 =7 iff 3+...

    Text Solution

    |

  19. Determine the truth value of the following statement : 3+3 =7 iff 5+...

    Text Solution

    |

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

    Text Solution

    |