Find The Equation Of The Straight Line On Which The Perpendicular From Origin Makes An Angle Of 30o with X-axis And Which Forms A Triangle Of Area  sq. Units With The Coordinates Axes.

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Question

Find the equation of the straight line on which the perpendicular from origin makes an angle of 30o with x-axis and which forms a triangle of area  sq. units with the coordinates axes.

Solution

Correct option is

 

Let   ∠NOA = 30o

Let   ON = p > 0, OA = a, OB = b

  

  

  

and in ∆ONB, 

        .     

  

or    b = 2p    

  

                             

                             

         

or      p = 5                            (∵ p > 0) 

, 

the equation of the line AB is  

         

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