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I) The maximum value of c + 2bx -x^(2) i...

I) The maximum value of `c + 2bx -x^(2)` is `c+b^(2)`
II) The minimum value of `x^(2) + 2bx + c` is `c-b^(2)`
Which of the above statements is true ?

A

only I

B

only II

C

both I and II

D

neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
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  2. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

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  3. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

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  4. In finding the roots of x^(2) + px + q = 0 the coefficient of x was ta...

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  5. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

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  6. The equation x-(2)/(x-1) =1-(2)/(x-1) has

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  7. If a = 0 then the equation (x-a-1)/(x-a)= (a +1)-(1)/(x-a) has

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  8. If x^(2) + ax + b = 0, x^(2) + bx + a = 0 (a != 0) have a common root,...

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  9. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

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  10. if 2x - 7 - 5x^2 has maximum value at x=a then a=

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  11. The greatest value of (4)/(4x^(2)+4x+9) is

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  12. The smallest value of x^(2) - 3x + 3 in the interval [-3, (3)/(2)] is

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  13. I) The maximum value of c + 2bx -x^(2) is c+b^(2) II) The minimum va...

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  14. If alpha, beta are the roots ax^(2) + bx + c = 0 and k in R. Then the ...

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  15. The least integral value of x for which 33 - x(2 + 3x) gt 0 is

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  16. The set of values of x for which the inequalities x^2 -2x+3 gt ...

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  17. The set of all solutions of the inequation x^(2) - 2x +5 le 0 in R is

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  18. Find the set of values of x for which the inequalities x^(2)-3x-10 lt0...

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  19. If the graph of y=ax^(2)+bx+c lies completely above the x-axis, then

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  20. The set of values of x in R satisfying the inequality x^(2)-4x-21 le 0...

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