AP EAMCET2014MathematicsStraight Lines
If the point P(1,3) undergoes the following transformations successively. (i) Reflection with respect to the line y=x . (ii) Translation through 3 units along the positive direction of the X -axis. (iii) Rotation through an angle of 6 about the origin in the clockwise direction. Then, the final position of the point P is
Options
- A( 6 3 +1 2 , 3 -6 2 )
- B( 7 2 , -5 2 )
- C( 6+ 3 2 , 1-6 3 2 )
- D( 6+ 3 -1 2 , 6+ 3 2 )
Correct answer
A. ( 6 3 +1 2 , 3 -6 2 )
Step-by-step solution
The reflection of the point P(1,3) about the line y=x is Q(3,1) After translation through a distance 3 units along the positive direction of X -axis at the point whose coordinate are R(6,1) . After rotation through an angle of 6 about the origin in the clockwise direction, then R goes to whose coordinates are R^ ( 6 3 +1 2 , 3 -6 2 )