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KCET2014MathematicsThree Dimensional Geometry

In a triangle ( A B C, a[b C-c B]= )

Options

  1. A( a² )
  2. B( b ² )
  3. C( 00 )
  4. D( b²-c² )

Correct answer

D. ( b²-c² )

Step-by-step solution

Given that, a[b C-c B] We know that, a=b C+c B So, (b C+c B)(b C-c B)=b² ² C-c² ² B=b² (1- ² C )-c² (1- ² B ) We know that, B= b² 4 R² and C= c² 4 R² So, b² (1- c² 4 R² )-c² (1- b² 4 R² )=b²- b² c² 4 R² -c²+ c² b² 4 R² =b²-c²

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