Home
Class 11
MATHS
Are there two distinct irrational number...

Are there two distinct irrational numbers such that their difference is a rational number? Justify.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find two irrational numbers such that their sum is a rational number. Can you find two irrational numbers whose product is a rational number.

Represent sqrt3 irrational numbers on the number line.

Which of the following is not an irrational number ?

Which one of the following is an irrational number ?

Irrational number has a..........

Which of the following are rational numbers?

Assume that theta is a rational multiple of pi such that cos theta is a distinct rational. The number of values of cos theta is

Prove that number (log)_2 7 is an irrational number.

Which one of the following is not a rational number ?

FULL MARKS-SAMPLE PAPER 13-PART
  1. Two items are chosen from a lot containing twelve items of which four ...

    Text Solution

    |

  2. If n(A)=10 and n(AcapB)=3, find n((AcapB)'capA).

    Text Solution

    |

  3. Are there two distinct irrational numbers such that their difference i...

    Text Solution

    |

  4. Find the value of tan 105^(@).

    Text Solution

    |

  5. Write the first 6 terms of the sequence whose n^(th) term is given by ...

    Text Solution

    |

  6. Show that the points (0,-(3)/(2)),(1,-1) and (2,-(1)/(2)) are collinea...

    Text Solution

    |

  7. Find x and y if ((3x+4y,x-2y),(5,-3))=((2,4),(5,-3)).

    Text Solution

    |

  8. Given veca=2hati+2hatj+3hatk, vecb=-hati+2hatj+hatk and vecc=3hati+hat...

    Text Solution

    |

  9. Find the relation between a and b if lim(xto3)f(x) exists where f(x)={...

    Text Solution

    |

  10. Find the derivative of t^(3) cos t with respect to t.

    Text Solution

    |

  11. There are 15 candidates for an examination. 7 candidates are appearing...

    Text Solution

    |

  12. Find the largest possible domain for the real valued function f define...

    Text Solution

    |

  13. Resolve into partial fractions (3x+7)/(x^(2)-3x+2).

    Text Solution

    |

  14. Iff ""^(5)P(r)=""^(6)P(r-1) find r.

    Text Solution

    |

  15. Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2

    Text Solution

    |

  16. Find the unit vectors perpendicular to each of the vectors veca+vecb" ...

    Text Solution

    |

  17. Evaluate lim(xto3)(x^(2)-9)/(x-3) if it exists by finding f(3^(-)) and...

    Text Solution

    |

  18. Prove that the equations to the straight lines through the origin each...

    Text Solution

    |

  19. Evalute int(1)/(sqrt(x+3)-sqrt(x-4))dx.

    Text Solution

    |

  20. Prove that cos5theta=16cos^(5)theta-20cos^(3)theta+5costheta.

    Text Solution

    |