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MHT CET202616 April 2026Morning ShiftMathematicsProperties of TrianglesActual

In a triangle ABC, with usual notations a = 3 + 1 , b = 3 - 1 and C = 60^ then the values of A and B respectively are

Options

  1. A105^ , 15^
  2. B100^ , 20^
  3. C90^ , 30^
  4. D110^ , 10^

Correct answer

A. 105^ , 15^

Step-by-step solution

Using Napier's Analogy: ( A - B 2 ) = a - b a + b ( C 2 ) Substituting the given values a = 3 + 1 , b = 3 - 1 , and C = 60^ : a - b = 2 a + b = 2 3 ( C 2 ) = 30^ = 3 ( A - B 2 ) = 2 2 3 3 = 1 A - B 2 = 45^ A - B = 90^ In ABC , the sum of angles is 180^ : A + B + C = 180^ A + B = 120^ Solving A - B = 90^ and A + B = 120^ : 2A = 210^ A = 105^ 2B = 30^ B = 15^ Answer: 105^ , 15^

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