Answer:
a) X would be marked 2 cm away from point A towards the point B
b) X would be marked 1.5 cm away from point P towards the point Q
Step-by-step explanation:
Data provided in the question:
Length of AB = 6 cm
Length of PQ = 6 cm
a) AX : AB 1 : 3
This means
on substituting the value of AB, we get
or
AX =
or
AX = 2 cm
Hence,
X would be marked 2 cm away from point A towards the point B
b) PX: XQ 1 :3
This means
or
⇒ 3PX = XQ .............(1)
also,
PX + XQ = PQ
or
PX + XQ = 6 cm
substituting the value of XQ from (1)
PX + 3PX = 6 cm
or
4PX = 6 cm
or
PX =
or
PX = 1.5 cm
Hence,
X would be marked 1.5 cm away from point P towards the point Q