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.