Q1) In the polar coordinate plane,
coordinate O is ( 0, 0° )
coordinate P is (3, 60°)
coordinate Q is (3, 150°)
Angle POQ is 90°
How to find the length of PO and QO?
How to find the area of triangle OPQ?
Q2) A(3,0) and B(1,4) are two points in a retangular coordinate plane.
Suppose A' is the image obtained by reflecting A along the straight line y=k,
where k is a constant and k>0.
(a) Write down the coordinates of A' in terms of k.
(b) If AB and A'B are perpendicular to each other, find the value of k.