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QJEEAdv05Mabf98: JEE Advanced 2005 Mathematics - Class 11 JEEAdv05Mabf98 Solution: In a triangle , are the lengths of its sides and are the angles …

In a triangle ABCABC , a,b,ca,b,c are the lengths of its sides and A,B,CA,B,C are the angles of triangle ABCABC . The correct relation is given by

Multiple Choice Options

  • A (b−c)sin⁡(B−C2)=acos⁡A2\left( {b - c} \right)\sin \left( {{{B - C} \over 2}} \right) = a\cos {A \over 2}
  • B (b−c)cos(A2)=a sinB−C2\left( {b - c} \right)cos\left( {{A \over 2}} \right) = a\,sin{{B - C} \over 2}
  • C (b+c)sin⁡(B+C2)=acos⁡A2\left( {b + c} \right)\sin \left( {{{B + C} \over 2}} \right) = a\cos {A \over 2}
  • D (b−c)cos(A2)=2a sinB+C2\left( {b - c} \right)cos\left( {{A \over 2}} \right) = 2a\,sin{{B + C} \over 2}

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