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A curve passes through the point (2,0) a...

A curve passes through the point (2,0) and the lope of the tangent at any point is `x^2-2x` for all values of x. The point of maximum or minimum of the curveis

A

`(0,2//3)`

B

`(0,4//3)`

C

`(0,1//3)`

D

`0,5//3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  3. A curve passes through the point (2,0) and the lope of the tangent at ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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