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If A, B are the roots of the quadratic equation a b x^2-c^2 x+a b=0 where a, b, c are sides of the A B C then ^2 A+ ^2 B+ ^2 C is

Options

  1. A1
  2. B2
  3. C3
  4. D3 2

Correct answer

B. 2

Step-by-step solution

Here, A + B = c ^2 ab and A B =1 A B=1 A= B A=90^ -B A+B=90^ C=90^ A= a c , B= b c ^2 A+ ^2 B+ ^2 C= a^2 c^2 + b^2 c^2 +1=2

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