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Find the equation of tangent to the curv...

Find the equation of tangent to the curve y`=1+e^(-2x)`
Where it cuts the line y=2

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The correct Answer is:
2x+y=2
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MOTION-TANGENT & NORMAL-EXERCISE 3
  1. Consider the curve f(x)=x^(1/3), then

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  2. In which of the following cases the given equations has atleast one ro...

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  3. Find the equation of tangent to the curve y=1+e^(-2x) Where it cuts...

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  4. Find the equation of normal to the curve x^3+y^3=8xy at point where it...

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  5. Find the equation of the tangent line to the curve y=x^2-2x+7 which...

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  6. Find the equation of the tangent line to the curvey =x^2-2x+7 which is...

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  7. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

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  8. The tangent at a variable point P of the curve y = x^2 – x^3 meets it ...

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  9. Find the points on the curve y=x^3 at which the slope of the tan...

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  10. Show that for any point of the curve x^2 - y^2 = a^2 the segment of th...

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  11. Prove that the length of segment of all tangents to curve x^(2/3)+y^(2...

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  12. find the abscissa of the point on the curve xy=(c-x)^2 the normal at ...

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  13. The angle of intersection of the curves y =2 sin^2 x and y = cos 2 x ...

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  14. if two curves C1 : x=y^2 and C2 : xy=k cut at right angles,then value ...

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  15. A particle moves along the curve 6y = x^(3)+2. Find the points on th...

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  16. The length x of a rectangle is decreasing at the rate of 3 cm/minute ...

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  17. The length x of rectangle is decreasing at a rate of 3 cm//min and wi...

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  18. A lamp is 50ftdot above the ground. A ball is dropped from the same he...

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  19. A man 1.5 m tall walks away from a lamp post 4.5 m high at a rate of 4...

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  20. A man 1.5 m tall walks away from a lamp post 4.5 m high at a rate of 4...

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