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Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify you answer.

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OSWAL PUBLICATION-QUADRATIC EQUATIONS-NCERT EXEMPLAR (Exercise- 4.2)
  1. State whether the following quadratic equations have two distinct real...

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  2. State whether the following quadratic equations have two distinct real...

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  3. State whether the following quadratic equations have two distinct real...

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  4. State whether the following quadratic equations have two distinct real...

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  5. State whether the following quadratic equations have two distinct real...

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  6. State whether the following quadratic equations have two distinct real...

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  7. State whether the following quadratic equations have two distinct real...

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  8. State whether the following quadratic equations have two distinct real...

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  9. State whether the following quadratic equations have two distinct real...

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  10. Write whether the following statements are true or false. Justify your...

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  11. Write whether the following statements are true or false. Justify your...

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  12. Write whether the following statements are true or false. Justify your...

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  13. Write whether the following statements are true or false. Justify your...

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  14. Write whether the following statements are true or false. Justify your...

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  15. If the coefficient of x^(2) and the constant term have the same sign a...

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  16. A quadratic equation with integral coefficients has integral roots. Ju...

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  17. Does there exist a quadratic equation whose coefficients are rational ...

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  18. Does there exist a quadratic equation whose coefficients are all disti...

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  19. Is 0.2 a root of the equation x^(2)-0.4=0? Justify your answer.

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  20. If b=0,c<0, is it true that the roots ofx^2+bx+c=0 are numerically equ...

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