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Given P(x)=x^(4)+ax^(3)+bx^(2)+cx +d suc...

Given `P(x)=x^(4)+ax^(3)+bx^(2)+cx +d` such that x=0 is the only real root of `P'(x)==0`. If `P(-1) lt P(1)`, then in the interval [-1,1]

A

P(-1) is not minimum but P(1) is the maximum of P

B

P(-1) is the minimum but P(1) is not the maximum of P

C

neither P(-1) is the minimum and P(1) is the maximum of P

D

P(-1) is the minimum and P(1) is the maximum of P

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  2. p and q are distinct prime numbers and if the equation x^2 -px ...

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  3. Given P(x)=x^(4)+ax^(3)+bx^(2)+cx +d such that x=0 is the only real ro...

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  4. A curve passes through the point (2,0) and the lope of the tangent at ...

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  5. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

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  6. The curve y=ax^2+bx has minimum at (2,-12) on it. Then (a,b) =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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