Home
Class 12
MATHS
Consider the following statements as tru...

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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

Which one of the following statement is true? The sum of two irrational numbers is always an irrational number The sum of two irrational numbers is always a rational number The sum of two irrational numbers may be a rational number or irrational number The sum of two irrational numbers is always an integer

State whether the following statements are True or False: Sum of two prime numbers is always even.

The square of an irrational number is always a rational number

State, in each case, whether the given statements is ture or false. (i) The sum of two rational numbers is rational. (ii) The sum of two irrational numbers is irrational. (iii) The product of two rational numbers is rational. (iv) The product of two irrational numbers is irrational. (v) The sum of a rational number and irrational number is irrational. (vi) The product of a nonzero rational number and an irrational number is a rational number. (vii)Every real number is rational or irrational. (viii) Every number is either rational or irrational. (ix) pi is irrational and (22)/(7) is rational.

Sum of two natural numbers is a rational number.

Which of the following statements is true? product of two irrational numbers is always irrational Product of a rational and an irrational number is always irrational Sum of two irrational numbers can never be irrational Sum of an integer and a rational number can never be an integer

State whether the statements given are True or False. Sum of two rational numbers is always a rational number.

Which of the following statements are true ? The sum of two integers is always an integer.

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 :

RESONANCE DPP-JEE MAINS-All Questions
  1. The number of real solutions of equation x^((log)x2)+x^2=3x is 2 b. 1 ...

    Text Solution

    |

  2. Find interval of values of ' a ' for which one root of equation x^2+a^...

    Text Solution

    |

  3. Consider the following statements as true or false:- The sum of two ra...

    Text Solution

    |

  4. If (log)(10)(x-1)^3-3(log)(10)(x-3)=(log)(10)8,t h e n(log)x 625 has t...

    Text Solution

    |

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

    Text Solution

    |

  6. Let f(x)=3/4x+1,f^n(x)b ed efin e da sf^2(x)=f(f(x)),a n dforngeq2,f^(...

    Text Solution

    |

  7. (log)3(1-1/3)+(log)3(1+1/4)+(log)3(1+1/5)++(log)3(1+1/(242)) when simp...

    Text Solution

    |

  8. If vec xa n d vec y are two non-collinear vectors and a, b, and c ...

    Text Solution

    |

  9. Simplify: 5^(1/((log)7 5))+1/(sqrt(-(log)(10)(0. 1)))3

    Text Solution

    |

  10. If p,q in N and 0,1bar2=p/q where p and q are relatively prime then id...

    Text Solution

    |

  11. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  12. The point Q is the image of the P in line x + y+ 4= 0 and R is the ima...

    Text Solution

    |

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

    Text Solution

    |

  14. sqrt(5-log2x)=3-log2x

    Text Solution

    |

  15. If x satisfies the inequality log(x+3) (x^2-x) < 1 then x may belong t...

    Text Solution

    |

  16. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |

  17. one vertex of the triangle of maximum area that can be inscribed in th...

    Text Solution

    |

  18. Solve the following inequations log3((1+ 2x)/(1+x))<1

    Text Solution

    |

  19. A tangent is drawn at any point P (t) on the parabola y^2 = 8x and on ...

    Text Solution

    |

  20. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |