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KCET2016MathematicsInverse Trigonometric Functions

If ( ⁻¹ x+ ⁻¹ y= 2 ), then ( x² ) is equal to

Options

  1. A( 1-y² )
  2. B( y² )
  3. C( 00 )
  4. D( 1-y )

Correct answer

A. ( 1-y² )

Step-by-step solution

Given that, ( ⁻¹ x+ ⁻¹ y= 2 (1) ) We know that, ( ⁻¹ x+ ⁻¹ x= 2 (2) ) From Eqs. (1) and (2), we get ( ⁻¹ y= ⁻¹ x ) ( x= ( ⁻¹ y ) ) We know that, ( ⁻¹ x= ⁻¹ 1-x² ) So, ( ( ⁻¹ 1-y² )= 1-y² ) ( x²= (1-y² ) )

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