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The equation of the tangent to the curve...

The equation of the tangent to the curve `y=x+4/x^2`, that is parallel to the x-axis, is

A

`y=0`

B

`y=1`

C

`y=2`

D

`y=3`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The equation of the tangent to the curve 9x^2+16y^2=52 and which is pa...

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

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

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  4. The equation of the tangent to the curve y=x^3+3x^2-5 and which is per...

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  5. The equation of the tangent to the curve y^2=4x+5 and which is paralle...

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  6. The equation of the tangent to the curve x^2+2y=8 and which is perpend...

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  7. The points of contact of the tangents drawn from origin to the curve 3...

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  8. The point of contact of the tangents drawn from origin to the curve y=...

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  9. The equation of the tangent to the curve y(x-2)(x-3)-x+7=0 where the c...

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  10. The equation of the tangent to the curve y=be^(-x//a) where it crosses...

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  11. Equation of the tangent to the curve y=2x^36x^2-9 at the point where t...

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  12. The equation of the tangent to the curve y=(x+9)/(x+5) so that is pass...

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  13. The equation of the normal to the curve y=be^(-x//a) where it cuts y-a...

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  14. The equation of the normal to the curve y=2x^3+6x^2-9 where the curve ...

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  15. The distance between the origin and the normal to the curve y=e^(2x)+x...

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  16. The normal to he curve x=a(costheta+thetasintheta),y=a(sintheta-thetac...

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  17. If the normal to the curve x^3-y^2=0 at (m^2,-m^3) is y=mx-2m^3, then ...

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  18. The portion of the tangent drawn at any point on x^(2//3)+y^(2//3)=a^(...

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  19. The tangent at theta=pi//4 to the curve x=acos^3theta,y=asin^3theta me...

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  20. Tangent at any point of the curve (x/a)^(2//3)+(y/b)^(2//3)=1 makes in...

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