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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In a triangle ABCA B C, if (1+ab+cb)(1+bc−ac)=3\left(1+\frac{a}{b}+\frac{c}{b}\right)\left(1+\frac{b}{c}-\frac{a}{c}\right)=3, then the angle AA is equal to
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Correct option: A
π3\frac{\pi}{3}
Option A (π3\frac{\pi}{3}) is correct because solving the given equation using trigonometric identities and the cosine rule leads to angle A being 60 degrees.

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