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AP EAMCET2015MathematicsStraight Lines

The point (2,3) is first reflected in the straight line y=x and then translated through a distance of 2 units along the positive direction X -axis. The coordinates of the transformed point are

Options

  1. A(5,4)
  2. B(2,3)
  3. C(5,2)
  4. D(4,5)

Correct answer

C. (5,2)

Step-by-step solution

Let P(2,3) be the given point and Q be the reflection of point P(2,3) about the line y=x . Then, the coordinates of Q are (3,2) Now, the point Q is translated through a distance of 2 units along the positive direction of X -axis. Let the new position of Q be R . Then, the coordinates of R are aligned & R=(3+2,2) & R=(5,2) aligned

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