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The angle which the tangent at (2,1) to ...

The angle which the tangent at (2,1) to the curve `x^3+y^3=9` with the x-axis is

A

`Tan^-1 4`

B

`Tan^-1 2`

C

`pi//2`

D

`pi//4`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. Ify=4x-5 is a tangent to the curve y^2=px^3+q at(2,3), then

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  2. The angle made by the tangent at any point of the curve x=a(t+sintcost...

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  3. The angle which the tangent at (2,1) to the curve x^3+y^3=9 with the x...

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  4. If the tangent to the curve xy+ax+by=0 at (1,1) is inclined at an angl...

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  5. If the line ax + by + c = 0 is a normal to the curve xy = 1 then

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  6. The coordinates of the point P on the curve x=a(theta+sintheta),y=a(1-...

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  7. Points at which the tangents to the hyperbola y=(x-1)/(x+1) are parlle...

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  8. The point on the curve y=x^2+5, the tangent at which is perpendicular ...

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  9. The curvey-e^(xy)+x=0 has a vertical tangent at the point

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  10. The point on the curve y=x^3+x-2, the tangent at which is parallel to ...

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  11. The line x//a+y//b=1 is a tangent to curve y=be^(-x//a) at the point

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  12. The points on the curve y=x^3, the tangent at which are inclined at an...

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  13. The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel...

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  14. The point on the curve x^4-4x^3+4x^2+1 at which the tangent is paralle...

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  15. The points on the curve y=x^2+sqrt(1-x^2) at which the tangent is perp...

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  16. The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpe...

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  17. The equation of the tangent to the curve 4x^2+9y^2=40 and having slope...

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  18. The equation of the tangent to the curve 9x^2+16y^2=52 and which is pa...

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  19. The equation of the tangent to the curve x^2+y^2=52 and which is paral...

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  20. The equation of the tangent to the curve y=x+4/x^2, that is parallel t...

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