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if both root of equation x^2-6ax+2-2a+9a...

if both root of equation `x^2-6ax+2-2a+9a^2 = 0` exceeds 3 . then show that `a>11/9`

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VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -LEVEL -2
  1. The equation x^(2) + ax + b^(2) = 0 has two roots each of which exceed...

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  2. The real values of 'a' for which the quadratic equation 2x^2 - (a^3 + ...

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  3. if both root of equation x^2-6ax+2-2a+9a^2 = 0 exceeds 3 . then show t...

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  4. If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...

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  5. which of the following graph represents the expression f(x) = ax^2 + b...

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  6. If alpha, beta are the roots of the equation (x-a)(x-b)=c,c!=0. Find t...

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  7. Let alpha ,beta " be the roots of " ax^(2) +bx + c= 0, gamma, detla ...

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  8. If b1. b2=2(c1+c2) then at least one of the equation x^2+b1x+c1=0 and ...

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  9. If alpha , beta are roots of ax^(3) +bx +c=0 then the equation ax^...

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  10. If a gt 1 , then the roots of the equation (1-a)x^(2)+3ax-1=0 are

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  11. The polynomiaal (a x^2+b x+c)(a x^2-dx-c), a c!=0 has

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  12. If the equation ax^(2)+2bx-3c=0 has no real roots and ((3c)/(4))lta+b,...

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  13. If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...

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  14. If alpha and beta(alpha lt beta) are the roots of the equation x^(2)+b...

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  15. The number of real solutions of the equation (9//10)^x=-3+x-x^2 is

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  16. If the roots of a1x^(2)+b1x+c1=0 and alpha1 , beta1 and those of a2...

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  17. If b^2>4ac, then a(x^2 +4x+4)^2+b(x^2 +4x +4)+c=0 has distinct real ...

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  18. If ( lambda^(2) + lambda - 2)x^(2)+(lambda+2)x lt 1 for all x in R ,...

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  19. The value of k for which the equation (k-2) x^(2) + 8x + k + 4 = 0 has...

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  20. For all x in R if mx^(2) - 9mx + 5m + 1 gt 0 , then m lies in the in...

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