Home
Class 11
MATHS
If n is real and n > 3, show that n^2 > ...

If n is real and n > 3, show that `n^2 > 9` (use the method of contradictional).

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 7

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos
  • MODEL QUESTION PAPERS-SET 9

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos

Similar Questions

Explore conceptually related problems

Prove that sqrt2 irrational, (use the method of contradiction).

Show that sqrt3 is irrational. (Use the method of contradiction).

If n is a such real number that n>3 .then n^2>9 prove it by the method of contradiction.

Show that sqrt7 is an irrational, (use the method of contradiction)

Prove that sqrt5 is irrational, (use the method of contradiction).

Prove that sqrt3 is irrational, (use the method of contradiction)

Check the validity of the statements given below by the method given against it. If n is a real number with n gt 3 , then n^(2)gt9 (by contradiction method).

Check the validity of the following compound statement using (i) direct method contrapositive method and (iii) contradiction method If x is a real number such that 4x^(3)+3x=0, " then" x=0

Out of 3n given things 2n are alike and the rest are different Show thata selection of 2n things can be madde from these 3n things in 2^(n) different ways .

If n is a positive integer (gt1) ,show that , 3^(2n+2)-8n-9 is always divisible by 64.

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 8-EXERCISE
  1. If the coefficients of 2nd,3rd and 4th terms in the (1+x)^(2n)are in A...

    Text Solution

    |

  2. Vertices of /\XYZ are X(-2, -3),Y (6, 1), and Z(1, 6). Find the co-ord...

    Text Solution

    |

  3. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

    Text Solution

    |

  4. A circle passes through(1,-2) and (4,-3) and its.centre lies on the st...

    Text Solution

    |

  5. A point divides the line segment joining the point (2, -5. 8) and(3, 4...

    Text Solution

    |

  6. Show thatlim(xrarr0)(x^2sin(1/x))/(sinx)=0

    Text Solution

    |

  7. Differentiatesqrttanx,with respect to x.(With the help of 1st principl...

    Text Solution

    |

  8. Using contrapositive method show that the compound statement is are tr...

    Text Solution

    |

  9. If n is real and n > 3, show that n^2 > 9 (use the method of contradic...

    Text Solution

    |

  10. In a family, out of 3 children, one of them at least Boy. Find the por...

    Text Solution

    |

  11. If the variance of lst.n even natural numbers is 65, find the value of...

    Text Solution

    |

  12. Show thatsinalpha+sinbeta+singamma-sin(alpha+beta+gamma)=4sin ((alpha+...

    Text Solution

    |

  13. In /\ABCshow thata^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B)=3abc

    Text Solution

    |

  14. Find the number of permutations and the number of combinations in the ...

    Text Solution

    |

  15. Solve :3x^2+(i-2)x-4i+10=0

    Text Solution

    |

  16. Find the common solution region of the following system of equations.2...

    Text Solution

    |

  17. In a series, the rth term is (2r + 1).2r. Find the sum of 1st n terms ...

    Text Solution

    |

  18. The axis of a parabola is parallel to x axis. If the the parabola pass...

    Text Solution

    |

  19. If S and S' are the foci of the hyperbola 4y^2 - 3x^2 = 48 and P is t...

    Text Solution

    |

  20. The ellipse x^2/a^2+y^2/b^2=1passes through the point of intersection ...

    Text Solution

    |