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What is the minimum height of any point ...

What is the minimum height of any point on the curve `y=x^2-4x+6` above the x-axis?

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`2`
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CENGAGE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Solved Examples And Exercises
  1. The number of real solutions of |x|+2sqrt(5-4x-x^2)=16 is/are a. 6 ...

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  2. If the quadratic equation a x^2+b x+6=0 does not have real roots and b...

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  3. What is the minimum height of any point on the curve y=x^2-4x+6 above ...

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  4. What is the minimum height of any point on the curve y=-x^2+6x-5 abov...

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  5. Find the largest natural number a for which the maximum value of f(x)=...

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  6. Let f(x)=a x^2+b x+c be a quadratic expression having its vertex at (3...

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  7. Find the least value of n such that (n 2)x^2+8x+n+4>0,AAx in R ,where...

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  8. If the inequality (m x^2+3x+4)//(x^2+2x+2)<5 is satisfied for all x i...

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  9. If f(x)=(a1x+b1)^2+(a2x+b2)^2+...+(an x+bn)^2 , then prove that (a1b1+...

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  10. If c is positive and 2a x^2+3b x+5c=0 does not have aby real roots, ...

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  11. If a x^2+b x=6=0 does not have distinct real roots, then find the leas...

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  12. A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)...

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  13. Let a ,b ,c in Q^+ satisfying a > b > cdot Which of the following sta...

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  14. If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value ...

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  15. If x=1+1/(3+1/(2+1/(3+1/(2oo)))) a sqrt(5/2) b. sqrt(3/2) c. sqrt...

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  16. Find the values of a for which all the roots of the euation x^4-4x^3-8...

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  17. If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a)3 b...

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  18. The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a...

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  19. If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a)3 b...

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  20. Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

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