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

Question

If C is the mid point of AB and P is any point outside AB, then : (A) PA+PB+PC = 0 (B) PA+PB+2PC = 0 (C) PA+PB = PC (D) PA+PB = 2PC

Tardigrade Admin · Accepted Answer

If C is mid point of AB and P be the origin, then PC=(PA+PB /2). Let P be the origin outside of AB and C is mid point of AB, then PC=(PA+PB /2) ⇒ 2PC =PA +PB

Q. If $C$ is the mid point of $A B$ and $P$ is any point outside $A B$ , then :

$P A + PB + PC = 0$

$P A + PB + 2 PC = 0$

$P A + PB = PC$

$P A + PB = 2 PC$

If $C$ is mid point of $A B$ and $P$ be the origin, then $PC = \frac{P A + PB}{2} .$
Let $P$ be the origin outside of $A B$ and $C$ is mid point of $A B$ , then
$PC = \frac{P A + PB}{2}$
$\Rightarrow 2 PC = P A + PB$

Q. If C is the mid point of AB and P is any point outside AB, then :

PA+PB+PC=0

PA+PB+2PC=0

PA+PB=PC

PA+PB=2PC