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TS EAMCET · Maths · Straight Lines

The point \((4,1)\) undergoes the following transformations successively : (i) Reflection is the line \(x-y=0\) (ii) Shifting through a distance of 2 units along the positive \(X\)-axis (iii) Projection on \(X\)-axis The coordinates of the point in its final position are

  1. A \((3,4)\)
  2. B \((4,3)\)
  3. C \((3,0)\)
  4. D \((4,0)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \((3,0)\)

Step-by-step Solution

Detailed explanation

(c) We have, The point \((4,1)\) undergoes the following transformations (i) Reflection in the line \(x-y=0\) \(\because\) Reflection of point \((4,1)\) to line \(x-y=0\) is \((1,4)\) (ii) Shifting through a distance of 2 units along the positive \(X\)-axis then…