Home
Class 11
MATHS
‘If x is a whole number and x^2 is even,...

‘If x is a whole number and `x^2` is even, then x is also an even number’. Find the truth value of this statement by contrapositive method.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 3

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos

  • MODEL QUESTION PAPERS-SET 5

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

If 2x^3 + 5x = 0 , where x is a real number, then x = 0’ examine the statement by contrapositive method.

‘x is such a real number that 4x^3 + 3x= 0 , then x = O ’. Find the truth value of this compound statement by the method of contra-diction.

If x^2 is an odd number then x is also odd number,justify the validity of the statement.

If m is an even integer, show that m^(2) is also an even integer.

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

If the roots of the equation x^2+7x+m=0 are two consecutive whole number, then find the value of m.

If the SD of the first numbers even integers be sqrt40 , then find numbers.

prove that the compound statement " if x and y are odd integers , then xy is and odd integer " is valid using contrapositive method

Check the validity of the compound statement :If x be a real number such that 2x^3+5x=0 , then x=0" by contrapositive method

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 4-EXERCISE
  1. Prove by mathematical induction.1/1.3+1/3.5+1/5.7+....+1/((2n-1)(2n+1)...

    Text Solution

    |

  2. How many different arragements of the letters of the word ALGEBRA can ...

    Text Solution

    |

  3. If the sum of the n term of an AP is n^2 + 2n . which, term will ...

    Text Solution

    |

  4. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

    Text Solution

    |

  5. The equation of the two adjacent sides of a parallelogram are 4x+ 5y =...

    Text Solution

    |

  6. In a rectangle, the co-ordinates of the end point of a diagonal are (2...

    Text Solution

    |

  7. If the straight line dx + cy = cd is perpendicular the line joining th...

    Text Solution

    |

  8. Find the equation of a circle which passes through (0, -3) and (3, -4)...

    Text Solution

    |

  9. Evaluate:lim(xrarr0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

    Text Solution

    |

  10. If f(x)=x|x|,prove that f'(x)=2|x|.

    Text Solution

    |

  11. ‘If x is a whole number and x^2 is even, then x is also an even number...

    Text Solution

    |

  12. ‘If a and b are two odd integer, then (a + b) is an even intege.”—exam...

    Text Solution

    |

  13. One cord is drawn at random a pack of 52 c’ards..Find the probability ...

    Text Solution

    |

  14. Find the mean and variance for the following frequency distributions i...

    Text Solution

    |

  15. Solve : 2cos^2 2thetacos5theta+2=sin^2theta,theta in R.

    Text Solution

    |

  16. If 1/(^5Cr)+1/(^6Cr)+1/(~^4Cr)find the value of r.

    Text Solution

    |

  17. Show that there are 72 ways of selecting 5 letters from the word INDEP...

    Text Solution

    |

  18. The co-ordinate of vertex and focus of a parabola x^2 + by^2 + 2hxy+ 2...

    Text Solution

    |

  19. Prove that the 4 foci of the two ellipses 25x^2+169y^2=4225 and 400x^2...

    Text Solution

    |

  20. Show that the difference of the focal distances of any point on the hy...

    Text Solution

    |