D is any point on side AC of ΔABC. If P, Q, X, Y are the mid-point of AB, BC, AD and DC respectively, then the ratio of PX and QY is

A. 1 : 2

B. 1 : 1

C. 2 : 1

D. 2 : 3

Answer: Option B

Solution(By Examveda Team)

According to question,

PX || BD [mid point theorem]
∴ PX = $$\frac{1}{2}$$BD
Similarly, QY || BD
∴ QY = $$\frac{1}{2}$$BD
∴ PX : QY,           $$\frac{1}{2}$$BD : $$\frac{1}{2}$$BD
PX : QY = 1 : 1