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AP EAMCET2012MathematicsStraight Lines

The point (3,2) undergoes the following three transformations in the order given (i) Reflection about the line y=x . (ii) Translation by the distance 1 unit in the positive direction of x -axis. (iii) Rotation by an angle 4 about the origin in the anti-clockwise direction. Then, the final position of the point is

Options

  1. A(- 18 , 18 )
  2. B(-2,3)
  3. C(0, 18 )
  4. D(0,3)

Correct answer

C. (0, 18 )

Step-by-step solution

Given point is (3,2) . (i) Reflection of point (3,2) about the line y=x is (2,3) . (ii) Translation of a point through 1 unit distance in the positive direction of x -axis is (3,3) . (iii) aligned X & =-x +y & = (- 3 2 + 3 2 )=0 aligned and Y=x +y = ( 3 2 + 3 2 )=3 2 = 18 Hence, final position is (0, 18 ) .

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