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KCET2011MathematicsProperties of Triangles

In any A B C , the simplified form of 2 A a² - 2 B b² is

Options

  1. Aa²-b²
  2. B1 a²-b²
  3. C1 a² - 1 b²
  4. Da²+b²

Correct answer

C. 1 a² - 1 b²

Step-by-step solution

aligned 2 A a² &- 2 B b² &= (1-2 ² A ) a² - (1-2 ² B ) b² &= (1-2 a² k² ) a² - (1-2 b² k² ) b² &= ( 1 a² -2 k² )- ( 1 b² -2 k² ) &= ( 1 a² - 1 b² )-2 k²+2 k² &= 1 a² - 1 b² aligned

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