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If alpha,beta,gaama are the roots of the...

If `alpha,beta,gaama` are the roots of the cubic `x^3+qx+r=0`, find the equation whose roots are
`(alpha-beta)^2,(beta-gamma)^2,(gamma-alpha)^2`.

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  2. If P(x) = ax^2+bx+c, and Q(x) = -ax^2+dx+c, acne 0, then prove that P(...

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  3. If alpha,beta,gaama are the roots of the cubic x^3+qx+r=0, find the eq...

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  4. f(x)=x^2-(m-3)x+m=0 is a quadratic equation, find values of m for whic...

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  5. f(x)=x^2-(m-3)x+m=0 is a quadratic equation, find values of m for whic...

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  6. f(x)=x^2-(m-3)x+m=0 is a quadratic equation, find values of m for whic...

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  7. f(x)=x^2-(m-3)x+m=0 is a quadratic equation, find values of m for whic...

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  8. f(x)=x^2-(m-3)x+m=0 is a quadratic equation, find values of m for whic...

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  9. f(x)=x^2-(m-3)x+m=0 is a quadratic equation, find values of m for whic...

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  10. If,alpha be the root of equation ax^2+bx+c=0 and beta be root of -ax^2...

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  11. Find the values of 'm' for which the equation x^4-(m-3)x^2+m=0 has Fo...

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  12. Find the values of 'm' for which the equation x^4-(m-3)x^2+m=0 has Fo...

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  13. Find the values of 'm' for which the equation x^4-(m-3)x^2+m=0 has No...

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  14. For what value of 'm' inR, both roots of the equation x^2-6mx+9m^2-2m+...

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  15. Find the value(s) of 'a' for which the inequality tan^(2)x+(a+1) t...

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  16. Find the common root of x^2-3x+2=0 and x^2+x-2=0

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  17. Find the condition if equations ax^2+bx+c=0 and x^2+2x+3=0 have a comm...

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  18. If x^2+ax+bc=0 and x^2+bx+ac=0 have a common root, show their other ro...

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  19. If alpha,beta are the roots x^2+px+q=0 and gamma,delta are the roots o...

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  20. Find condition if ax^3+bx^2+cx+d=0, has exactly one real root, (a,b,c,...

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