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If the roots of the equation (a^2+b^2)x^...

If the roots of the equation `(a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0` are equal, prove that `a/b=c/ddot`

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VK GLOBAL PUBLICATION-QUADRATIC EQUATIONS-PROFICIENCY EXERCISE Short Answer Questions-II
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  2. If one root of the quadratic equation 2x^2+k x-6=0 is 2, find th...

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  3. If the roots of the equation (a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0 are ...

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  4. The difference of two natural numbers is 3 and the difference of th...

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  5. Seven years ago Varuns age was five times the square of Swatis age. ...

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  6. The area of a right angled triangle is 165m^2 . Determine its base and...

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  7. Is it possible to design or rectangular park of perimeter 40 m and are...

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  8. Determine the condition for the roots of the equation ax^(2)+bx+c=0 to...

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  9. Show that the equation 2(a^2+b^2)x^2+2(a+b)x+1=0 has not real roots, w...

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  10. Find the value of k for which the equation x^(2)-2(1+3k)x+7(3+2k)=0 ha...

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  11. Find the roots of the equation: x^2+200x+9975=0

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  12. If 1 is a root of the quadratic equation x^(2)+px-2=0 and the quadrati...

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  13. Find the non-zero value of k for which the quadratic equations kx^2+1-...

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  14. Find whether the following equations have real roots. If real roots ex...

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  15. Find whether the following equations have real roots. If real roots ex...

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  16. Find whether the following equation have real roots. If real roots exi...

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  17. Find whether the following equations have real roots. If real roots ex...

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  18. Find whether the following equations have real roots. If real roots ex...

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  19. Find whether the following equations have real roots. If real roots ex...

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  20. Solve for x: (x-3)/(x-4)+(x-5)/(x-6)=(10)/(6),xne4,6

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