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Question

The equation of the tangent to the curve y=1ex/2 at the point of intersection with the y- axis is 


  1. 2x +y =0

  2. x - y =2

  3. x +2y =0

  4. None of these


Solution

The correct option is C

x +2y =0


For y -axis, x =0
y=1e=11=0dydx=012ex/2,(dydx)(0,0)=12
Equation of tangent 
y0=12(x0)x+2y=0

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