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

Answer

Step by step text solution for 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 by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTION WITH ANSWERS|3 Videos

  • MATHEMATICAL INDUCTION

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|17 Videos

  • PERMUTATIONS AND COMBINATIONS

    SUBHASH PUBLICATION|Exercise 2/3 MARKS QUESTIONS WITH ANSWERS|36 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

Knowledge Check

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

    A
    Neither commutative nor associative
    B
    Commutative but not associative
    C
    both commutative and associative
    D
    Associative but not commutative

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

    A
    neither commutative nor associative
    B
    commutative but not associative
    C
    both commutative and associative
    D
    associative but not commutative.

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

    A
    `x in(-b,oo)`
    B
    `x in[-oo, b)`
    C
    `x in(-b, b)`
    D
    `x in(-oo,-b)uu(b,oo)`

    • Similar Questions

    Explore conceptually related problems

    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.

    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

    Home
    Profile