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CGP EDU Academic Team
Published on: August 14, 2026
If without shifting the origin the co-ordinate axes are rotated through an angle of 60º in anticlockwise direction then find co-ordinates of point (2, –2) w.r.t. new axes ?
Text Solution
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Sol.
x ′ = 2 cos 60º – 2 sin 60º
⇒ x ′ = 2 
– 2 
⇒ x ′ = 1 – 
and y ′ = –2 sin 60º – 2 cos 60º
⇒ y ′ = – 2 
– 2 
⇒ y ′ = – 
– 1
⇒ Coordinate are (1 – 
, – 
– 1)
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