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The smallest value of k, for which both ...

The smallest value of k, for which both roots of the equation `x^2-8kx+16(k^2-k+1)`=0 are real,distinct and have values at least 4, is

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If the quadratic polynomial, y=(cot alpha)x^2+2(sqrtalpha)x+1/2tanalph...

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  2. If alpha,beta be the roots x^2+px-q=0 and gamma,delta be the roots of ...

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  3. The smallest value of k, for which both roots of the equation x^2-8kx+...

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  4. Let (x,y,z) be points with Integer coordinates satisfying the system o...

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  5. If roots of the equation x^2-10cx-11d=0 are a,b and those of x^2-10ax-...

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  6. If alpha,beta,gamma are such that alpha+beta+gamma=4, alpha^2+beta^2+g...

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  7. Find the values of the parameter a for which the roots of the quadrati...

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  8. Find the values of the parameter a for which the roots of the quadrati...

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  9. Find the values of the parameter a for which the roots of the quadrati...

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  10. Find the values of the parameter a for which the roots of the quadrati...

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  11. Find the values of the parameter a for which the roots of the quadrati...

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  12. Find the values of the parameter a for which the roots of the quadrati...

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  13. Find the values of the parameter a for which the roots of the quadrati...

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  14. Find the values of the parameter a for which the roots of the quadrati...

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  15. Find the values of the parameter a for which the roots of the quadrati...

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  16. Find the values of the parameter a for which the roots of the quadrati...

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  17. Find the values of the parameter a for which the roots of the quadrati...

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  18. Find the values of the parameter a for which the roots of the quadrati...

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  19. Find the values of the parameter a for which the roots of the quadrati...

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  20. Show that the equation A^2/(x-a)+B^2/(x-b)+C^2/(x-c)+.....+H^2/(x-h)=...

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