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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 AND MINIMA -Advanced Subjective Type Questions
  1. A quadratic function in x has the value 9 when x = 1 and has a maximum...

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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 has 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. The sum of the hypotenuse and one side of a right angled triangle is g...

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  7. Two sides of a triangle is given. If the area of a triangle is maximum...

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  8. If the perimeter of a rectangle is contant, then show that the rectang...

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  9. If the area of a rectangle is contant, then show that the rectangle be...

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  10. Find the area of greatest rectangle that can be inscribed in (x^(2))/(...

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  11. Find the maximum area of an isosceles triangle inscribed in the ellips...

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  12. If the perimeter of a sector of a circle is 'c' cm then show that its ...

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

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  14. The sum of the surfaces of a sphere and a cube is given. Show that whe...

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  15. Show that a closed cylinder of a given volume will have its least surf...

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

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  17. The equation of the normal to the curve x^(2)=4y at (1,2) is

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  18. Find the dimensions and the volume of the greatest cylinder that can b...

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  19. Show that the altitude of the right circular cone of maximum volume th...

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  20. Show that the semi-vertical angle of right circular cone of the maximu...

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