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The slope of the tangent to the curve xy...

The slope of the tangent to the curve `xy+ax+by=2` at a point (1, 1) then find the value of a and b.

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The correct Answer is:
`a=5, b=-4`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -PRACTICE WORK
  1. Find the equations of the tangent to the curve y=cos(x+y) which is par...

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  2. Find the points on the curve x^(2)y^(2)+xy=2 at which the slope of the...

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  3. The slope of the tangent to the curve xy+ax+by=2 at a point (1, 1) the...

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  4. Prove that all points on the curve y^(2)=4a[x+a sin((x)/(a))] at which...

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  5. Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin^...

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  6. If the curves (x^(2))/(a^(2))+(y^(2))/(4)=1 and y^(3)=16x intersect at...

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  7. Find the equations of the tangents drawn to the curve y^(2)-2x^(3)-4y+...

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  8. Find the approximate value of each of the following : sqrt(399)

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  9. Using differentials, find the approzimate value of each of the followi...

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  10. Using differentials, find the approximate value of each of the up to 3...

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  11. Find the approximate value of each of the following : cos 29^(@)

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  12. Find the approximate value of each of the following : tan 31^(@)

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  13. Find the approximate value of each of the following : log(e )(100...

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  14. Find the approximate value of each of the following : (15.5)^((1)...

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  15. Using differentials, find the approximate value of each of the up to 3...

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  16. Find the approximate value of each of the following : (65)^((1)/(...

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  17. Find the approximate value of each of the following : log(e )(10....

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  18. If f(x)=2x^(2)-3x+5 then find the approximate value of f(1.05).

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  19. The radius of a cone is twice of its height and the radius is 10 cm. I...

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  20. Find the approximate change in the surface area of a cube of side x m ...

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