TS EAMCET · Maths · Straight Lines
The point \(P(3,2)\) undergoes the following transformations successively (i) Reflection about the line \(y=x\) (ii) Translation to a distance of 3 units in the positive direction of \(X\)-axis (iii) Rotation through an angle \(\frac{\pi}{4}\) about the origin in the counter-cloclswise direction Then, the final position of that point is
- A \((2,4)\)
- B \((4 \sqrt{2},-\sqrt{2})\)
- C \(\left(\frac{1}{\sqrt{2}}, \sqrt{2}\right)\)
- D \((\sqrt{2}, 2 \sqrt{2})\)
Answer & Solution
Correct Answer
(B) \((4 \sqrt{2},-\sqrt{2})\)
Step-by-step Solution
Detailed explanation
Reflection about the line \(y=x\) the coordinates \((3,2\) becomes ( 2,3\()\). On the translation of \((2,3)\) a distance of 3 units with positive direction of \(X\)-axis the point becomes \((5,3)\). On rotation through on angle \(\frac{\pi}{4}\) about origin in the…
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