1. P is a point on the plane of the square ABCD such that each of PAB, PBC, PCD and PDA is an isosceles triangle. How many possible positions are there for such a point P?
(A) 9
(B) 17
(C) 1
(D) 5
(E) 10
2. A man borrows Rs. 21000 at 10% compound interest. How much he has to pay annually at the end of each year, to settle his loan in two years?
(A) Rs. 12000
(B) Rs. 12100
(C) Rs. 12200
(D) Rs. 12300
(E) Rs. 12310
3. Let f be any function. About which line are the graphs of y = f(x − 1) and y = f(−x + 1) symmetric?
(A) y = 0
(B) x = 1
(C) x = −1
(D) x = 0
(E) x = 2
Math1089 