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point A(4,1) undergoes following transformations reflection about line y = x translation through a distance of 2 units in positive direction of x axis rotation through an angle pi/4 in anti clockwise direction about origin O then final position of A

point A(4,1) undergoes following  transformations 
  1. reflection about line y = x
  2. translation through a distance of 2 units in positive direction of x axis
  3. rotation through an angle pi/4 in anti clockwise direction about origin O   
  4. then final position of A 

Grade:8

1 Answers

Aman
13 Points
10 months ago
  1.  A(4,1) after transformation in y=x line new point would be (1,4).
  2.  After translation of 2 units along positive direction of x axis point would be (3,4) 
  3. After rotation through pi/4. distance from origin would remain therefore coordinates would be (7/root 2 ,1/root 2 )
 
 
 

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