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Section Formula

If C is the...

Question

If $C$ is the mid point of $A B$ and $P$ is any point out side $A B$ , then

A

\to P A + \to P B + 2 \to P C = \to 0

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B

\to P A + \to P B + \to P C = \to 0

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C

\to P A + \to P B = 2 \to P C

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D

\to P A + \to P B = \to P C

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Solution

The correct option is C $\to P A + \to P B = 2 \to P C$
From above figure
$\to P A = \to C A + \to B C + \to P B$
$= 2 \to B C + \to P B$
$= 2 (\to P C - \to P B) + \to P B$
$\to P A + \to P B = 2 \to P C$

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Δ

\to P A + \to P B + \to P C = ?

A, B, C

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Match the following

List I	List II
$1) \to P A + \to P B + \to P C$	$a)$ $0$
$2) \to G A + \to G B + \to G C$	$b) \to O H$
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