AP EAMCET · Maths · Straight Lines
If the axes are rotated through an angle \(45^{\circ}\), then the co-ordinates of the point \((4 \sqrt{2},-6 \sqrt{2})\) in the new system are ____
- A \((-10,-2)\)
- B \((-2,-10)\)
- C \((10,10)\)
- D \((-2,10)\)
Answer & Solution
Correct Answer
(B) \((-2,-10)\)
Step-by-step Solution
Detailed explanation
Let \((x, y)\) are coordinates related to old axes and \((X, Y)\) are related to rotated (new) axes then, \(\begin{gathered} x=X \cos \theta-Y \sin \theta \\ y=X \sin \theta+Y \cos \theta \end{gathered}\) Here,…
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