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Combining transformations - class-X

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Multiple Choice

When the axes are rotated through an angle $\dfrac{\pi}{6}$ , find the new coordinate for $(1,0)$

  1. $(\dfrac{\sqrt3}{2},\dfrac{-1}{2})$
  2. $(\dfrac{\sqrt4}{2},\dfrac{-1}{2})$
  3. $(\dfrac{\sqrt5}{2},\dfrac{-1}{2})$
  4. $(\dfrac{\sqrt3}{2},\dfrac{-1}{3})$
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