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AP EAMCET · Maths · Straight 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

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

Answer & Solution

Correct Answer

(C) \((5,2)\)

Step-by-step Solution

Detailed explanation

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…