Trigonometric Equations Question 307

Question: In any $ \Delta ABC $ if $ a\cos B=b\cos A $ , then the triangle is

[MP PET 1984]

Options:

A) Equilateral triangle

B) Isosceles triangle

C) Scalene

D) Right angled

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \sin A\cos B-\cos A\sin B=0 $
    Þ $ \sin (A-B)=0 $ Þ $ A=B $ i.e., isosceles triangle.


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