Question

If the coordinates of a point P are transformed to (4,-3) when the axes are rotated through an angle of 1350, then find P.​

Answer 1

Step-by-step explanation:

Correct option is

D

(2−1,27)

When axes are rotated through an angle θ, then 

x=Xcosθ−Ysinθ

y=Ycosθ−Xsinθ

where(x,y) are initial coordinates and (X,Y) are new coordinates

∴x=4(2−1)−(−3)(21)=2−1

y=4(21)−3(2−1)=27

∴(x,y)=(2−1,27)