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the line y=2x-4 is rotated throgh an angle of 90 degree in the plane about its point of intersection with (a) the x-axis (b) the y-axis Find the equation of the image line under each transformation. Ans: (a) x+2y=2 (b) x+2y+8=0

the line y=2x-4  is rotated throgh an angle of 90 degree in the plane about its point of intersection with


  (a) the x-axis         (b) the y-axis


Find the equation of the image line under each transformation.


Ans: (a) x+2y=2


          (b) x+2y+8=0

Grade:

1 Answers

shaswat roy
19 Points
10 years ago

since it is rotated by 90 degrees the eqn of the image line in both cases will be y = -x/2 + c  (where c is arbitrary const)

for part (a) satisfy (2,0) to get c and for part(b) satisfy (0,-4)

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