The Line Joining The Points A(2, 0) And B(3, 1) Is Rotated About A in The Anticlockwise Direction Through An Angle Of 15o. Find The Equation Of The Line In The New Position. If B goes To C in The New Position, What Will Be The Coordinates Of C?  

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Question

The line joining the points A(2, 0) and B(3, 1) is rotated about A in the anticlockwise direction through an angle of 15o. Find the equation of the line in the new position. If B goes to C in the new position, what will be the coordinates of C 

Solution

Correct option is

 

(By special corollary (i))

Here

     .         

and slope of, 

      

Now line AB is rotated through an angle of 15o

    

Equation of line AC in parametric form is  

        

  

  

     

        

and, 

      

         

Equation of the line AC is  

      

  

and coordinates of C are, 

      

 

Alternative Method (By special corollary (ii))

   

     

             

  

            

            

  

and equation of AC

       

.

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