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Disprove, by finding a suitable counter example, the statement. `x^2 gt y^2` for all `x gt y`

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VGS PUBLICATION-BRILLIANT-PROOFS IN MATHEMATICS-EXERCISE
  1. Restate the following statements with appropriate conditions, so that ...

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  2. Restate the following statements with appropriate conditions, so that ...

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  3. Disprove, by finding a suitable counter example, the statement. x^2 gt...

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  4. The statement "the sum of two odd numbers is odd" is

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  5. The statement "every composite number can be expressed as product of p...

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  6. A statement or an idea which gives an explanation to a series of obser...

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  7. The mathematics is mainly based on ......... reasoning.

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  8. Counter example to "product of two odd integers is even" is

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  9. God is immortal. Rama is a God, the conclusion based on these two stat...

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  10. A mathematical statement whose truth has been established is called

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  11. The mathematical statement which we believe to be true is called

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  12. Conjecture are made based on

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  13. The conjecture "If the perimeter of a rectangle increases then its are...

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  14. A counter example to the statement "In any right triangle the square o...

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  15. "A circle may be drawn with any centre and radius" is

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  16. A false axiom results into a.....

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  17. If in a collection of axioms, one axiom can be used to prove other axi...

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  18. If a statement and its negation both are true, then it is a

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  19. A process which can establish the truth of a mathematical statement ba...

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  20. The product of any two consecutive even natural numbers is divisible b...

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