Trigonometric Equations Question 194

Question: In a $ \Delta ABC $ , if $ c^{2}+a^{2}-b^{2}=ac $ , then $ \angle B= $

[MP PET 1983, 89, 90]

Options:

A) $ \frac{\pi }{6} $

B) $ \frac{\pi }{4} $

C) $ \frac{\pi }{3} $

D) None of these

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Answer:

Correct Answer: C

Solution:

  • $ \cos B=\frac{c^{2}+a^{2}-b^{2}}{2ac}\Rightarrow \cos B=\frac{1}{2}i.e.,B=\frac{\pi }{3} $ .