In a flow, velocity vector is given by  . The equation of streamline passing through the point (1,1) will be:

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  1. 9x3y3=8
  2. 9x - y = 8 
  3. 9x- y= 8 
  4. 9x- y= 8

Answer (Detailed Solution Below)

Option 3 : 9x- y= 8 
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Detailed Solution

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Concept:

For a 2D flow, the equation of a streamline is given by:

Given:

So,

Cross-multiplying:

Integrating both sides:

Multiply by 3:

Using point (1,1):

 

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