MHT CET202616 April 2026Morning ShiftMathematicsInverse Trigonometric FunctionsActual

⁻¹ ( 12 13 ) + ⁻¹ ( 4 5 ) + ⁻¹ ( 63 16 ) =

Options

A2
B3 2
C2

Correct answer

C. 2

Step-by-step solution

Let A = ⁻¹ ( 12 13 ) A = 12 5 Let B = ⁻¹ ( 4 5 ) B = 3 4 Let C = ⁻¹ ( 63 16 ) (A + B) = A + B 1 - A B (A + B) = 12 5 + 3 4 1 - 12 5 3 4 = 63 20 1 - 36 20 = - 63 16 Since A, B (0, 2 ) and A B = 36 20 > 1 , we have: A + B = + ⁻¹ (- 63 16 ) = - ⁻¹ ( 63 16 ) A + B = - C A + B + C = Answer:

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