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When the roots are irrational they are i...

When the roots are irrational they are in conjugate pairs as if one root is `p+sqrtq` the other root will be `p-sqrtq` Here, `sqrtq` the irrational part of the root.

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QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. Roots are equal only when D =0.

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  2. The equal roots are called Double Root.

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  3. When the roots are irrational they are in conjugate pairs as if one ro...

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  4. When the roots are complex they are in conjugate pairs as if one root ...

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  5. If Dgt0,a=1,b,cinZ (integer numbers) and roots are rational,prove tha...

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  6. If a quadratic equation has one real root and a,b,cinR. other root is ...

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  7. If the roots are real and equal, the graph will touch the x-axis.

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  8. If the roots are real and unequal, the graph will intercept the X-axis...

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  9. If the roots are non-real, the. graph does not touch the X-axis.

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  10. The points on the x-axis, where the quadratic graph touches or interce...

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  11. Find the nature of the roots of the quadratic equation (a-b)x^2+(b-c)x...

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  12. If (a+b+c=0, find the nature of the roots of ttie equation (c^2-ab)x...

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  13. Determine k for which the roots of the equation 9x^(2)+2kx+4=0 are equ...

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  14. Which of the following quadratic expression can be expressed as a prod...

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  15. Which of the following quadratic expression can be expressed as a prod...

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  16. Which of the following quadratic expression can be expressed as a prod...

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  17. Which of the following quadratic expression can be expressed as a prod...

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  18. Find the set of values of p for which the quadratic equation has real ...

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  19. If the roots of a quadratic equation are real and rational, which one ...

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  20. If the roots of a quadratic equation are real and unequal, which one o...

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