MHT CET20242 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual

( 4 + 1 2 ⁻¹ ( a b ) )+ ( 4 - 1 2 ⁻¹ ( a b ) ) is

Options

A2 a b
B2 ~b a
Ca b
Db a

Correct answer

B. 2 ~b a

Step-by-step solution

array ll & Let 1 2 ⁻¹ ( a b )= & ⁻¹ ( a b )=2 & 2 = a b & [ 4 + 1 2 ⁻¹ ( a b ) ]+ [ 4 - 1 2 ⁻¹ ( a b ) ] array aligned & = ( 4 + )+ ( 4 - ) & = 1+ 1- + 1- 1+ & = (1+ )^2+(1- )^2 1- ^2 & = 2 (1+ ^2 ) 1- ^2 & = 2 1- ^2 & . 1+ ^2 & = 2 2 & = 2 a b = 2 b a aligned

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