A Straight Line Passes Through A Point A (1, 2) And Makes An Angle 60owith The x-axis. This Line Intersects The Line x + y = 6 At The Point P. Find AP.

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Question

A straight line passes through a point A (1, 2) and makes an angle 60owith the x-axis. This line intersects the line x + y = 6 at the point P. find AP.

Solution

Correct option is

Let required line be  

∴ P is (1 + cos 60o, 2 + r sin 60o) which lies on x + y = 6  

  

   

                                                                          

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