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x and y be two variables such that `xgt0` and `xy=1`. Then the minimum value of `x+y` is

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A DAS GUPTA-Maxima and Minima-EXERCISE
  1. Fill in the blanks. f(x) =x^2 +ax^-1 will have a minimum at x=2 if a =

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  2. What is the area of the largest triangle that can be inscribed in a se...

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  3. x and y be two variables such that xgt0 and xy=1. Then the minimum val...

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  4. The value of a so that the sum of the squares of the roots of the equa...

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  5. Twenty metres of wire is available for fencing off a flower-bed in ...

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  6. The total cost of making n pocket radios per day is Rs{(n^2)/4 +35n + ...

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  7. A telephone company in a town has 500 subscribers on its list and c...

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  8. If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...

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  9. Find the minimum length of radius vector of the curve (a^2)/(x^2)+(b^...

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  10. A right cylindrical vessel of a given capacity is formed using least p...

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  11. Let f(x) =(x-1)^p.(x-2)^q where p > 1, q > 1. Each critical point of f...

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  12. The point (0, 3) is closest to the curve x^2 = 2y at

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  13. For the function f(x)=xe^x, the point

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  14. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

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  15. N Characters of information are held on magnetic tape, in batches of x...

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  16. The function f(x) = x^2+a/xcannot have a maximum at x = -3 for any rea...

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  17. Find the maximum slope of the curve y=-x^3+3x^2+2x-27 .

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  18. Two points A(1, 4) & B(3, 0) are given on the ellipse 2x^(2) + y^(2) =...

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  19. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

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  20. P is a variable point on the curve y= f(x) and A is a fixed point in...

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