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Select the correct option from the given alternatives: In ΔABC if c2 + a2 – b2 = ac, then ∠B = ____.

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Question

Select the correct option from the given alternatives:

In ΔABC if c2 + a2 – b2 = ac, then ∠B = ____.

Options

  • `π/4`

  • `π/3`

  • `π/2`

  • `π/6`

MCQ
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Solution

In ΔABC if c2 + a2 – b2 = ac, then ∠B = `underlinebb(π/3)`.

Explanation:

cos B = `(c^2 + a^2 - b^2)/(2ac)`

cos B = `(ac)/(2ac)`

cos B = `1/2`

cos B = cos `pi/3`

B = `pi/3`

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Chapter 3: Trigonometric Functions - Miscellaneous exercise 3 [Page 107]

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