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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Analyzing +4 | -1
Consider the following statements :

1. b2−c2asin⁡(B−C)=2R\frac{{{b^2} - {c^2}}}{{a\sin \left( {B - C} \right)}} = 2R

2. asin⁡(B−C)+bsin⁡(C−A)+csin⁡(A−B)=0a\sin \left( {B - C} \right) + b\sin \left( {C - A} \right) + c\sin \left( {A - B} \right) = 0

Which of these is/are correct?
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Correct option: C
Both (1) and (2)
Option C (Both (1) and (2)) is correct because both statements are trigonometric identities derived from the sine rule and angle relationships in a triangle.

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