1.  If P2 + 4Q2 = 4PQ, then determine P : Q.

A. 1 : 3
B. 3 : 1
C. 2 : 1
D. 1 : 2
E. None of the above

Answer: Option C

Explanation:

P2 + 4Q2 = 4PQ
⇒ P2 + 4Q2 - 4PQ = 0
⇒ (P - 2Q)2 = 0
⇒ P - 2Q = 0
⇒ P = 2Q
∴ P/Q = 2/1
∴ P : Q = 2 : 1