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General Form of a Straight Line

In a regular ...

Question

In a regular hexagon $A B C D E F, - - \to A E =$

A

- - \to A C + - - \to A F + - - \to A B

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B

- - \to A C + - - \to A F - - - \to A B

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C

- - \to A C + - - \to A B - - - \to A F

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D

- - \to A C + - - \to A B - - - \to A D

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Solution

The correct option is B $- - \to A C + - - \to A F - - - \to A B$
$- - \to A E = - - \to A B + - - \to B C + - - \to C D + - - \to D E$
$= - - \to A C + - - \to A F + - - \to D E$ ( $- - \to A F$ is parallel and equal to $- - \to C D$ )
$= - - \to A C + - - \to A F + - - \to B A$ $(- - \to B A = - - \to D E, - - \to B A ∥ - - \to D E)$
$- - \to A E = - - \to A C + - - \to A F - - - \to A B$

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General Form of a Straight Line

Standard XII Mathematics

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