question_answer

If P= (8, 6) and R is the rotation through \[-90{}^\circ \] about O, then \[{{R}_{-90}}O(P)\] is

A)  (6,-8)                                     

B)  (-8, -6)

C)  (8, 6)                                    

D) (-8, 6)

Correct Answer: A

Solution :

 Since \[P=\,\,(8,\,\,6)\],  and R is the rotation  through \[-{{90}^{o}}\] about O. \[\therefore \]  \[{{R}_{-90}}\,O9P)=\,(6,-8)\] Because, x-axis becomes ,y-axis and y-axis becomes A;-axis due to rotation through \[-{{90}^{o}}\] about the origin i.e., \[{{R}_{-90}}\,O(P)=\,(6,-8)\]