Home
Class 12
MATHS
The negation of the statement ''for all ...

The negation of the statement ''for all real numbers x and y, `x+y=y+x''` is

A

for some real numbers x and y,
`x-y=y-x`

B

for some real numbers x and y,
`x+yney+x`

C

for some real numbers x and y,
`x+y=y+x`

D

for some real numbers x and y,
`x+y ne y+x`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2019

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • MODEL TEST PAPER - 1

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

Write the negation of the following statements: r: For every real number x, either x > 1 or x < 1.

Write the negation of the following statements: (i) p: For every real number x, x^(2)gtx . (ii) q: There exists a rational number x such that x^(2) = 2 . (iii) r: All birds have wings. (iv) s: All students study mathematics at the elementary level.

Write the negation of the following statements: p: For every positive real number x, the number x - 1 is also positive.

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

The converse of the statement , "If x ge y then x + a ge y + a ' is

Write the negation of "For every real number x,x is less than x +1 . "

Let a relation R in the set of natural number be defined by (x,y) in R iff x^(2)-4xy+3y^(2)=0 for all x,y in N . Then the relation R is :

Are the following pairs of statements negations of each other: The number x is a rational number. The number x is an irrational number.

Let X and Y be subsets of R, the set of all real numbers. The function f: X rarr Y , defined by f(x)=x^(2) for x in X , is one-one but not onto if (Here R^(+) is the set of all +ve real numbers)

KCET PREVIOUS YEAR PAPERS-MATHEMATICS-MCQs
  1. If A and B are two events such that P(A)=(1)/(3), P(B)=(1)/(2) and P(A...

    Text Solution

    |

  2. A die is thrown 10 times, the probability that an odd number will come...

    Text Solution

    |

  3. The probability of solving a problem by three A, B and C indepoendentl...

    Text Solution

    |

  4. The value of sin^(2)51^(@)+sin^(2)39^(@) is

    Text Solution

    |

  5. If tanA +cotA=2, then the value of tan^(4)A+cot^(4)A=

    Text Solution

    |

  6. If A={1,2,3,4,5,6}, then the number of subsets of A which contain atle...

    Text Solution

    |

  7. If n(A)=2 and total number of possible relations from set A to B is 10...

    Text Solution

    |

  8. The value of ""^(16)C(9)+""^(16)C(10)-""^(16)C(6)-""^(16)C(7) is

    Text Solution

    |

  9. The number of terms in the expansion of (x+y+z)^(10) is

    Text Solution

    |

  10. If P(n):2^(n) lt n! Then the smallest positive integer for which P(n...

    Text Solution

    |

  11. If z=x+iy, then the equation |z+1|=|z-1| represents

    Text Solution

    |

  12. If the parabola x^(2)=4xy passes through the point (2, 1), then the le...

    Text Solution

    |

  13. If the sum of n terms of an A.P. is given by S(n)=n^(2)+n, then the co...

    Text Solution

    |

  14. The two lines lx+my=n and llx+m'y=n' are perpendicular if

    Text Solution

    |

  15. The standard deviation of the data 6, 7, 8, 9, 10 is

    Text Solution

    |

  16. lim(xrarr0)((tanx)/(sqrt(2x+4)-2)) is equal to

    Text Solution

    |

  17. The negation of the statement ''for all real numbers x and y, x+y=y+x'...

    Text Solution

    |

  18. Let f:[2, oo)rarrR be the function defined by f(x)=x^(2)-4x+5, then th...

    Text Solution

    |

  19. If A, B, C are three nutually exclusive and exhaustive events of an e...

    Text Solution

    |

  20. If a relation R on the set {1, 2, 3} be defined by R={(1, 1)}, then R ...

    Text Solution

    |