TS EAMCET · Maths · Straight Lines
If the origin of a coordinate system is shifted to \((-\sqrt{2}, \sqrt{2})\) and the coordinate system is rotated anti-clockwise through an angle \(45^{\circ}\), then the point \(P(1,-1)\) in the original system has new coordinates
- A \((\sqrt{2},-2 \sqrt{2})\)
- B \((0,-2 \sqrt{2})\)
- C \((0,-2-\sqrt{2})\)
- D \((0,-2+\sqrt{2})\)
Answer & Solution
Correct Answer
(C) \((0,-2-\sqrt{2})\)
Step-by-step Solution
Detailed explanation
Let the new coordinates of the point be \((X, Y)\). Since, the origin is shifted to \((-\sqrt{2}, \sqrt{2})\) and rotates anti-clockwise through an angle \(45^{\circ}\).…
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