Home
Class 12
MATHS
Given below are two pairs of statement ,...

Given below are two pairs of statement , combine these two statement using "if and only if"
(i) p : If a polygon is convex then all its diagonal lies inside the polygon
q : If all the diagonals of a polygon lie inside if then it is convex
(ii) p : If a physical quantity has magnitude only then it is scalar
q : If a physical quantity is scalar , then it has magnitude only

Text Solution

AI Generated Solution

To combine the given pairs of statements using "if and only if," we will follow a systematic approach for each pair. ### Step-by-Step Solution: #### Pair (i): 1. **Identify the Statements**: - Statement p: "If a polygon is convex, then all its diagonals lie inside the polygon." - Statement q: "If all the diagonals of a polygon lie inside, then it is convex." ...
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

Given below are two pairs of statements. Combine these two statements using "if and only if". (i) 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 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 statement . Combine these two statement using " if and only if " (i) p : If a rhombus is a square , then all its angles are 90^@ q : If all the angles of a rhombus are 90^@ , then it is sqaure (ii) p : If the sum of digit of a number is divisble by 9 , then the number is divisble by 9 q : If a number is divisble by 9 , then the sum of its digit is divisble by 9

The number of diagonals of a polygon of 15 sides is:

Given below are two pairs of statements. Combine these two statements using if and only if: p : if the sum of the 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 divisible by 3.

The number of diagonals of a polygon of 20 of sides

Given below are two pairs of statements. Combine these two statements using if and only if.(i) 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.(ii) 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.

No. of diagonals of a polygon are 170. No. of sides in this polygon are:

No. of diagonals of a polygon are 170. No. of sides in this polygon are:

Compare the following statements : p, only if q.

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

    |