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BITSAT2010MathematicsMatricesActual

The value of ( ⁻¹ x+ ⁻¹ ( x 2 + 1 2 3-3 x^2 ) ); ( 1 2 x 1 ) is

Options

  1. A(- 3 )
  2. B( 3 )
  3. C( 3 )
  4. D(- 3 )

Correct answer

B. ( 3 )

Step-by-step solution

Let ( ⁻¹ x=y ) ( x= y ), so that ( 1 2 x 1 ) or ( 0 y 3 ) and ( x 2 + 1 2 3-3 x^2 = 1 2 y+ 3 2 y ) (= 3 y+ 3 y= ( 3 -y ) ) ( ⁻¹ ( x 2 + 1 2 3-3 x^2 )= 3 -y ) ( ) the given expression is equal to (y+ 3 -y, i.e., 3 )

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