Home
Class 11
MATHS
By giving a conter example , show tha...

By giving a conter example , show that the statement " For any real number a and b `a^(2) =b^(2) rArr a= b"` is false

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 5

    OSWAAL PUBLICATION|Exercise EXERCISE|52 Videos

  • SAMPLE PAPER 7

    OSWAAL PUBLICATION|Exercise EXERCISE|57 Videos

Similar Questions

Explore conceptually related problems

Find counter - examples to disprove the following statements : For integers a and b, sqrt(a^(2)+b^(2))=a+b

By giving counter example, show that the following statement is false. P : If n is an odd integer, then n is prime

Show that the statement ''For any real numbers a and b, a^(2) = b^(2) implies that a = b'' is not true by giving a counter-example.

For any two real numbers, an operation * defined by a *b = 1 + ab is

For any two real numbers, an operation ** defined by a**b=1+ab is

x and b are real numbers. If b gt 0 and |x| gt b , then

Examine whether the following statements are true or false: { a }⊂ { a, b, c }

Examine whether the following statements are true or false: { a }∈ { a, b, c }

If a, b, c are distinct positive real numbers and a^(2)+b^(2)+c^(2)=1 , then ab+bc+ca is :

The statement, (a . b =0) to ( a = 0 or b = 0) where a and b are real numbers means

OSWAAL PUBLICATION-SAMPLE PAPER 6-EXERCISE
  1. If the sum of first p terms of an A.P is equal to the sum of the first...

    Text Solution

    |

  2. Let f={(1,1), (2,3), (3,5), (4,7)} be a function from Z into Z defined...

    Text Solution

    |

  3. By giving a conter example , show that the statement " For any r...

    Text Solution

    |

  4. If e1 and e2 are the eccentricities of a hyperbola and its conjugate t...

    Text Solution

    |

  5. The sum of first three terms of a G.P is 39//10 and their product is 1...

    Text Solution

    |

  6. find general solution sin x + sin 3x + sin 5x =0

    Text Solution

    |

  7. In how many of distinct permutations of the letters in the word MISSIS...

    Text Solution

    |

  8. (iii) Find the modulus and argument of the complex numbers. (a) (1+i...

    Text Solution

    |

  9. A and B are two events such that P(A) =0.54,P(B) =0.69 and P( A nnB) ...

    Text Solution

    |

  10. A and B are two events such that P(A) =0.54,P(B) =0.69 and P( A nnB) ...

    Text Solution

    |

  11. A and B are two events such that P(A) =0.54,P(B) =0.69 and P( A nnB) ...

    Text Solution

    |

  12. Find the derivative of function cot x with respect to x from first pri...

    Text Solution

    |

  13. If a,b,c are in G.P and a^((1)/(x))=b^((1)/(y))=c^((1)/(z)), prove tha...

    Text Solution

    |

  14. Define rational function.If function from f:R-{0} rarr R is defined as...

    Text Solution

    |

  15. Calculate the mean deviation about median for the following distributi...

    Text Solution

    |

  16. cos^(2)A+cos^(2)B-cos^(2)C=1-2sinA sinB cosC

    Text Solution

    |

  17. An examination paper consists of 12 questions diyided in to part A and...

    Text Solution

    |

  18. An examination paper consists of 12 questions diyided in to part A and...

    Text Solution

    |

  19. 1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.

    Text Solution

    |

  20. The second ,third and fourth terms in the binomial expansion (x+a)^n a...

    Text Solution

    |