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Let f(x)=a x^2+b x+cdot Consider the fol...

Let `f(x)=a x^2+b x+cdot` Consider the following diagram. Then Fig `c<0` `b >0` `a+b-c >0` `a b c<0`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let P(x)=x^2+b x+cw h e r eba n dc are integer. If P(x) is a factor ...

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  2. If |a x^2+b x+c|lt=1 for all x in [0, 1], then a.|a|lt=8 b. |b|>8 ...

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  3. Let f(x)=a x^2+b x+cdot Consider the following diagram. Then Fig c<0...

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  4. If roots of a x^2+b x+c=0 are alphaa n dbetaa n d4a+2b+c >0,4a -2b+c >...

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  5. The equation (x/(x+1))^2+(x/(x-1))^2=a(a-1) has

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  6. Find the complete set of values of a such that (x^2-x)/(1-a x) atta...

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  7. If alpha,beta are roots of x^2+p x+1=0a n dgamma,delta are the roots o...

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  8. If he roots of the equation12 x^2-m x+5=0 are in the ratio 2:3 then fi...

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  9. Ifalpha,beta be the roots of x^2-a(x-1)+b=0,then the value of 1/(alpha...

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  10. The equation formed by decreasing each root of ax^(2)+bx+c=0 by 1 is2x...

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  11. If the sum of the roots of an equation is 2 and the sum of their cubes...

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

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  13. Find the range of f(x)=sqrt(x-1)+sqrt(5-xdot)

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

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  15. Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation wh...

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

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

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  18. Evaluate: i^(135) (-sqrt(-1))^(4n+3),n in N sqrt(-25)+3sqrt(-4)+...

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

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

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