Home
Class 12
MATHS
p : xy =yx , is true for every real numb...

p : xy =yx , is true for every real number x and y
q : There exists real number x and y for which xy=yx is not true. above pair of statement are

A

Negation of each other

B

Not negation of each other

C

Converse of each other

D

Contrapostive of each other

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-B) (Objective type Questions (Only one answer))|10 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-C) (Linked Comprehension Type Questions) (Comprehension-I)|3 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Try Yourself|18 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

Similar Questions

Explore conceptually related problems

Are that following pair of statements negation of each other? (i) The relation xy=yx is true for every real number x and y . . (ii) There exists real number x and y for which the relation xy=yx is not true .

Check whether the following pair of statements are negation of each other.Give reasons for your answer.(i) x+y=y+x is true for every real numbers x and y .(ii) There exists real numbers x and y for which x+y=y+x

Check whether the following pair of statements are negation of each other.Given reasons for your answer: a+b=b+a is true for every real number a and b .There exist real numbers a and b for which a+b=b+a

If x and y are two real numbers and x+y=8 , then maximum value of xy is

Identify the quantifiers in the following statements. (i) There exists a triangle which is not equilateral. (ii) For all real numbers x and y , xy = yx. (iii) There exists a real number which is not a rational number . (iv) For every natural number which x,x + 1 is also a natural number. (v) For all real number x with x gt 3 , x^(2) is greater than 9. (vi) There exist a traingle which is not an isosceles traingle. (vii) For all negative x,x^(3) is also a nagative integers. (viii) There exists a statements in above statements which is not true. (ix) There exists an even prime number other thab 2. (x) There exists a real number x such that x^(2) + 1=0

For any positive real number x , prove that there exists an irrational number y such that 0 lt y lt x .

Which of the following quantified statement is true?A) The square of every real number is positive (B) There exists a real number whose square is negative (C) There exists a real number whose square is not positive(D) Every real number is rational.

If x and y are positive real numbers and xy=8 , then the minimum value of 2x+y is

Consider the following statements : 1. Every natural number is a real number. 2. Every real number is a rational number. 3. Every integer is a real number. 4. Every rational number is a real number. Which of the above statements are correct?

AAKASH INSTITUTE-MATHEMATICAL REASONING-Assignment (SECTION-A) (Objective type Questions (Only one answer))
  1. p : If a cylinder is right circular cylinder then its volume is 1/3pir...

    Text Solution

    |

  2. The conyerse of a given statement "if p, then q" is (where f and q are...

    Text Solution

    |

  3. p : · If nth term of a sequence is linear then sequence is in A.P. ...

    Text Solution

    |

  4. p : If a triangle is equilateral then its centroid, circumcenter and i...

    Text Solution

    |

  5. r : If a finite set has n elements then its total number of substets i...

    Text Solution

    |

  6. Equivalent form of " if and only if " for the given statements p and q...

    Text Solution

    |

  7. r : Two chords of a circle are equidistant from the centre if and onl...

    Text Solution

    |

  8. r : Two polygons are congrunent then they are equal in shape and size ...

    Text Solution

    |

  9. To check th e validity of a statement p by contradiictitin method our ...

    Text Solution

    |

  10. To check validity of st atement we can use which of the following met...

    Text Solution

    |

  11. p : sqrt(39) is irrational To check the validity of statement p , w...

    Text Solution

    |

  12. For the gioven statementss identify the necessary condition p : If a...

    Text Solution

    |

  13. For the given statements identify the sufficient condition p·: If d...

    Text Solution

    |

  14. Negation of the given statement p is P : There exists a rational num...

    Text Solution

    |

  15. Converse of given statement p is, where P : If an event is sure eve...

    Text Solution

    |

  16. Contrapositive of given statement p is, where p : If slope of a stra...

    Text Solution

    |

  17. r : Two chords of a circle subtend equal angles at centre if and only ...

    Text Solution

    |

  18. Which type of OR is used in following pair of statements (i) Afuncti...

    Text Solution

    |

  19. p : xy =yx , is true for every real number x and y q : There exists ...

    Text Solution

    |

  20. Which of type of is used in following statements p : A physical quan...

    Text Solution

    |