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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

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The correct Answer is:
`a=1,b=0`
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AAKASH SERIES-MAXIMA & MINIMA-ADDITIONAL EXERCISE
  1. The minimum value of a^2sec^2theta +b^2 cosec^2 theta is

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  2. If y = a log|x| + bx^(2) + x has extreme values at x = 2 and x = -4/3 ...

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

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  5. Find the triangle of the greatest area among the right triangles of a ...

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  6. Find the greatest rectangle that can be inscribed in x^2/a^2+y^2/b^2=1

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  7. If the perimeter of a sector of a circle is constant then find the ang...

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  8. Show that a conical tent of given capacity will require the least amou...

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  9. The volume of the greatest cylinder which can be inscribed in a cone o...

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  10. A wire of length 'a' is cut into two parts which are bent in the form ...

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  11. An open box of maximum volume is made from a square piece of tin of si...

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  12. ABCD is rectangle in which AB= 9cm , BC =6 cm . P is a point in CD suc...

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  13. Find the point on the curve y = x^(2) + 7x + 2 which is closer to the ...

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  14. Find the point on the curve y^2=4x which is nearst to the point (2,1)

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  15. Find the shortest distance from (-6,0) to (a) 2x+y=3 (b) x^2-y^2+1...

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  16. A jet of an enemy is flying along the curve y=x^2+2. A soldier is plac...

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  17. A (0,a) ,B(0,b) be fixed points , P(x,0) a variable point. The angle a...

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  18. Show that the area of a rectangle inscribed in a circle is maximum whe...

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  19. Find the dimensions of the right circular cylinder with the greatest v...

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  20. The sum of the height and diameter of the base of a right circular cyl...

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