AP EAMCET · Maths · Straight Lines
If the point \(P(4,1)\) undergoes a reflection in the line \(x-y=0\), then a translation through a distance of 2 units along the positive \(\mathrm{X}\)-axis and finally projected on the \(\mathrm{X}\)-axis, then the coordinates of \(P\) in the final position, is
- A \((3,4)\)
- B \((3,0)\)
- C \((1,0)\)
- D \((4,3)\)
Answer & Solution
Correct Answer
(B) \((3,0)\)
Step-by-step Solution
Detailed explanation
Reflection in \(x-y=0\): \(P'(4,1) \to (1,4)\) Translation by 2 units along positive X-axis: \((1,4) \to (1+2, 4) = (3,4)\) Projection on X-axis: \((3,4) \to (3,0)\)
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