?
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
Answer & Solution
Correct Answer:
Option
B
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
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
Join the Discussion
Login to post a comment or share your explanation.
Login