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If x is real and (x^2+2x+c)//(x^2+4x+3c)...

If `x` is real and `(x^2+2x+c)//(x^2+4x+3c)` can take all real values, of then show that `0lt=clt=1.`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If the sum of the roots of an equation is 2 and the sum of their cubes...

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  3. If x is real and (x^2+2x+c)//(x^2+4x+3c) can take all real values, of ...

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  4. If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , t...

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  7. Find the greatest value of a non-negative real number lambda for which...

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  8. If a ,b ,c in R such that a+b+c=0a n da!=c , then prove that the root...

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  9. If the fraction (x^3+(a-10)x^2-x+a-6)/(x^3+(a-6)x^2-x+a-10) reduces to...

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  10. If the equation (a-5)x^2+2(a-10)x+a+10=0 has roots of opposite sign, t...

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  11. If alphaa n dbeta are the roots of ax^2+bx+c=0a n dSn=alpha^n+beta^n,...

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  12. If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alp...

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

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

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

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

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

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

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

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