Home
Class 12
MATHS
Consider the following statements (i) ...

Consider the following statements (i) The sum of a rational number with an irrational number is always irrationa. (ii) The product of two rational numbers is always rational. (iii) The product of two irrationals is always irrationals. (iv) The sum of two rational is always rational. (v) The sum of two irrationals is always irrational. The correct order of True/False of above statements is :

A

T F T F F

B

F F T T T

C

T T F T F

D

T T F F T

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Addition of rational and irrational number is always irrational.

The product of a non-zero rational number with an irrational number is always a/an

State True or False :- The product of two rational numbers is always rational.

The product of a rational number and an irrational number is

The square of an irrational number is always a rational number

The sum of two irrational numbers is an irrational number (True/false).

State whether the given statement is ture or flase. (i) The sum of two rationals is always rational. (ii) The product of two rationals is always rational. (iii) The sum of two irrationals is always an irrational . (iv) The product of two irrationals is always an irrational. (iv) The product of two irrationals is always an irrationals. (v) The sum of a rational is irrational. (vi) The product of a rational and an irrational is irrational.

Consider the following statements as true or false:- The sum of two rational numbers is always rational.

RESONANCE-DPP-QUESTION
  1. If n^(2)+2n -8 is a prime number where n in N then n is

    Text Solution

    |

  2. If n^(2)-11n+24=0 is satisfied by n(1)&n(2) where n(2)gtn(1) then (A)...

    Text Solution

    |

  3. Consider the following statements (i) The sum of a rational number w...

    Text Solution

    |

  4. The equation 7xx^(2)-(7pi+22)xx+22pi=0has (A) equal roots (B) a root ...

    Text Solution

    |

  5. Theere are four prime numbers written in ascending order. The product ...

    Text Solution

    |

  6. Find out (A+B+C+D) such that ABxxCB=DDD, where AB and CB are two-digit...

    Text Solution

    |

  7. Let a,b inQ"such that"(39sqrt2-5)/(3-sqrt2)=a+bsqrt2, then (A) sqrt((...

    Text Solution

    |

  8. Identify the correct statement

    Text Solution

    |

  9. If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x...

    Text Solution

    |

  10. Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4...

    Text Solution

    |

  11. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  12. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  13. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  14. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  15. Which of the following collections are sets ? (i) Collection of all ...

    Text Solution

    |

  16. Write the following sets in the tabular from : (i) A={x:x is a posit...

    Text Solution

    |

  17. Write the following sets in the set builder from : {:((i), 0={0),(i...

    Text Solution

    |

  18. How many positive integey x ae there such that 3x has 3 digits and 4x ...

    Text Solution

    |

  19. If a and b are positive integers such that a^(2)-b^(4)=2009, find a+b

    Text Solution

    |

  20. Find the number of positive integers x for which f(X)=x^(3)-8x^(2)+20x...

    Text Solution

    |