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`p and q` are distinct prime numbers and if the equation `x^2 -px +q=0` has positive integer as its roots then the roots the roots of the equation are

A

The cubic has minima at `- sqrtp/3` and maxima at `sqrt(p/3)`

B

The cubic has minima at both `sqrtp/3 and -sqrt(p/3)`

C

The cubic has maxima at both `sqrt(p/3) and -sqrt(p/3)`

D

The cubic has minima at `sqrt(p/3)` and maxima at `-sqrt(p/3)`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  8. If f(x) = a/x +bx has minimum at (2,1) then (a,b) =

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

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

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

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

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

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

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

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

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

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

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

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