Maths Olympiad Exam

Let R denote the set of all real numbers. Find all functions f : R → R satisfying the
condition
f(x + y) = f(x)f(y)f(xy)
for all x, y in R.

Read Solution (Total 0)

Maths Olympiad Other Question

Let ABC be a triangle and D be the mid-point of side BC. Suppose DAB = BCA
and DAC = 15◦. Show that ADC is obtuse. Further, if O is the circumcentre of
ADC, prove that triangle AOD is equilateral. 0/713:P]25[ 246^/
'79468/
:67';=UYHM