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The curve y = (x^2 +ax+b)/(x-10) has a s...

The curve `y = (x^2 +ax+b)/(x-10)` has a stationary point at (4,1). Find the values of 'a' and 'b' and also show that y is maximum at this point.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the points of local maxima and local minima, if any, of the follo...

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  2. Prove that x^x has minimum value at x =1/e

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  3. The curve y = (x^2 +ax+b)/(x-10) has a stationary point at (4,1). Find...

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  4. y = (ax-b)/((x-1)(x-4)) has a turning point P (2,-1). Find the values ...

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  5. Find two positive numbers whose sum is 14 and product is maximum.

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  6. Find two positive numbers whose sum is 16 and product is maximum.

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  7. Amongst all pairs of positive numbers with product 256 find those whos...

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  9. Find two numbers whose sum is 15 and the square of one multiplied by t...

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  10. Find two positive numbers whose sum is 15 and the sum of whose squares...

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  11. Find two positive numbers 'x' and 'y' such that their sum is 35 and pr...

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  12. Find two positive numbers whose sum is 16 and whose sum of cubes is mi...

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  13. Find two positive numbers x and y such that x+y = 60 and xy^3 is maxim...

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

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  16. If the sum of the lengths of hypotenuse and a side of a right-angled t...

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  18. A wire of length 36 cm is cut into two pieces . One of the pieces is t...

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  19. Prove that the perimeter of a right-angled triangle of given hypotenus...

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  20. Prove that the area of right-angled triangle of given hypotenuse is ma...

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