AP EAMCET · Maths · Straight Lines
Point \((-1,2)\) is changed to \((\mathrm{a}, \mathrm{b})\) when the origin is shifted to the point \((2,-1)\) by translation of axes, Point \((a, b)\) is changed to \((c, d)\) when the axes are rotated through an angle of \(45^{\circ}\) about the new origin. \((c, d)\) is changed to ( \(e\), \(f)\) when \((c, d)\) is reflected through \(y=x\). Then \((e, f)=\)
- A \((-3,3)\)
- B \((0,3 \sqrt{2})\)
- C \((3 \sqrt{2}, 0)\)
- D \((1,2)\)
Answer & Solution
Correct Answer
(C) \((3 \sqrt{2}, 0)\)
Step-by-step Solution
Detailed explanation
Since, after translation So, \(a=-1-2=-3, b=2-(-1)=3 \Rightarrow(a, b)=(-3,3)\) Since, \(\theta=45^{\circ}\) \(\Rightarrow c=-3 \cos \left(45^{\circ}\right)+3 \sin \left(45^{\circ}\right)=\frac{-3}{\sqrt{2}}+\frac{3}{\sqrt{2}}=0\) and…
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