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If both the roots of `x^2-a x+a=0` are greater than 2, then find the value of `adot`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alp...

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  3. If both the roots of x^2-a x+a=0 are greater than 2, then find the val...

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  4. If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then find the interval in...

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  5. Find the values of 'a' which 4^t-(a-4)2^t+9/4alt0,foralltin(1,2)

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  6. Find the number of positive integral values of k for which kx ^(2) +(k...

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  7. If x^2+2ax+a lt 0 AA x in [1, 2] then find set of all possible values ...

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  8. Given that a ,b ,c are distinct real numbers such that expressions a x...

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  9. Find the number of quadratic equations, which are unchanged by squarin...

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  10. Solve the following: (sqrt(x^2-5x+6)+sqrt(x^2-5x+4))^(x/2)+(sqrt(x^2-...

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

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  12. Find the values of a if x^2-2(a-1)x+(2a+1)=0 has positive roots.

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  13. If alphaa n dbeta,alphaa n dgamma,alphaa n ddelta are the roots of th...

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  14. If alphabeta the roots of the equation x^2-x-1=0 , then the quadratic...

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  15. 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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  16. If alpha1,alpha2 are the roots of equation x ^2-p x+1=0a n dbeta1,bet...

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  17. Suppose A, B, C are defined as A=a^2b+a b^2-a^2c-a c^2 , B=b^2c+b c^2-...

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  18. The integral value of m for which the root of the equation m x^2+(2m-1...

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

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  20. If the root of the equation (a-1)(x^2-x+1)^2=(a+1)(x^4+x^2+1) are real...

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