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AP EAMCET201923 Apr 2019Morning ShiftMathematicsProperties of TrianglesActual

If (A B C ) is a right angled triangle with (90^ ) at (C ) and (a>b ), then ( a^2+b^2 a^2-b^2 (A-B)= )

Options

  1. A( 3 2 )
  2. B1
  3. C( 1 2 )
  4. D0

Correct answer

B. 1

Step-by-step solution

On applying sine rule, we get ( aligned & ^2 A+ ^2 B ^2 A- ^2 B (A-B) & = ^2 A+ ^2 B (A+B) (A-B) (A-B) & [ ^2 A- ^2 B= (A+B) (A-B) ] & = ^2 A+ ^2 A ( -C) & [ A+B+C= and C= / 2 given ] & = 1 C =1 & [ C=90^ ] aligned ) Hence, option (b) is correct.

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