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If C is the middle point of AB and P is ...

If C is the middle point of AB and P is any point outside AB, then

A

PA+PB=PC

B

PA+PB=2PC

C

PA+PB+PC=0

D

PA+PB+2PC=0

Text Solution

Verified by Experts

The correct Answer is:
B
`PA+PB=(PA+AC)+(PB+BC)-(AC+BC)`
`=PC+PC-(AC-CB)=2PC-0" "(becauseAC=CB)`

`thereforePA+PB=2PC`
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