9th Class
Mathematics
Geometry
Question Bank
Geometry
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., \[{{R}_{-90}}\,O(P)=\,(6,-8)\]