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MHT CET20225 Aug 2022Evening ShiftMathematicsProperties of TrianglesActual

With usual notations, In ABC , C =90^ , then the value of ( A - B ) is

Options

  1. Aa^2+b^2 a^2-b^2
  2. Ba^2-b^2 a^2+b^2
  3. Ca ^2+ b ^2 a ^2
  4. Da^2-b^2 b^2

Correct answer

B. a^2-b^2 a^2+b^2

Step-by-step solution

aligned & C=90^ & A+ B=90^ & c=1 and (A+B)=1 aligned Also c ^2= a ^2+ b ^2 aligned & Now (A-B)= (A-B) (A+B) ^2 C = ^2 A- ^2 B ^2 C & = k^2 a^2-k^2 b^2 k^2 c^2 = a^2-b^2 c^2 = a^2-b^2 a^2+b^2 aligned

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