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If y=(ax+b)/((x-1)(x-4)) has a maximum v...

If `y=(ax+b)/((x-1)(x-4))` has a maximum value at the point (2,-1) then

A

a=10 ,b=20

B

a=1,b=0

C

a=5,b=5

D

none

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The curve y=ax^2+bx has minimum at (2,-12) on it. Then (a,b) =

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  2. If f(x) = a/x +bx has minimum at (2,1) then (a,b) =

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  3. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

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  4. If a quadratic function in x has the value 9 when x=1 and has maximum ...

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  5. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

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  6. The real number x when added to its inverse gives the minimum value of...

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  7. If the product of two positive numbers is 400 then the minimum value o...

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  8. The sum of two positive numbers is 12. The numbers so that the sum of ...

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  9. The difference of two positive numbers is 10 . If the square of the gr...

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  10. The sum of three numbers is 30 . The first plus three times the second...

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  11. Divide 64 into two parts such that the sum of the cubes of two parts i...

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  12. The maximum value of xy subject to x+y =7 is

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  13. The sum of two numbers is 20 . If the product of the square of one num...

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  14. The ratio of the two parts of a number 'a' such that the product of th...

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  15. If x, y, k, m, n are positive and x + y = k, then find the maximum val...

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  16. The difference of a number and its square is maximum, then the number ...

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  17. If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)...

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  18. The value of a so that the sum of the squares of roots of the equation...

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  19. The function f(x) = a sin x +1/3 sin 3x has maximum value at x=pi/3. T...

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  20. The focal distance of the point (4,2) on the parabola x^(2)=8y is

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