If $∣ ∣ ¯ ¯ ¯ a ∣ ∣ = ∣ ∣ ¯ ¯ b ∣ ∣,$ then $(¯ ¯ ¯ a + ¯ ¯ b) . (¯ ¯ ¯ a - ¯ ¯ b)$ is

positive

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Negative

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Zero

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None of these

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Solution

The correct option is C Zero
$\begin{matrix} ∣ ∣ \to a ∣ ∣ = ∣ ∣ ∣ \to b ∣ ∣ ∣ (\to a + \to b) . (\to a - \to b) \to a . \to a - \to a . \to b + \to a . \to b - \to b . \to b {∣ ∣ \to a ∣ ∣}^{2} - {∣ ∣ ∣ \to b ∣ ∣ ∣}^{2} {∣ ∣ \to a ∣ ∣}^{2} - {∣ ∣ \to a ∣ ∣}^{2} 0 H e n c e, o p t i o n C i s t h e c o r r e c t a n s w e r . \end{matrix}$

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(¯ ¯ ¯ a + ¯ ¯ ¯ b) . (¯ ¯ ¯ a - ¯ ¯ ¯ b) = 0

| ¯ ¯ ¯ a |

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\to A, \to B, \to C

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