Mathematics

Problem

In a

\Delta PQR

\angle R = \frac{\pi}{2}

. If

\tan\left(\frac{P}{2}\right)

and

\tan\left(\frac{Q}{2}\right)

are the roots of

ax^2 + bx + c = 0, a \neq 0

, then a.

b = a + c

b = c

c = a + b

a = b + c