Consider the following : 1. ⁻¹ 4 5 + ⁻¹ 3 5 = 2 2. ⁻¹ 3 + ⁻¹ 1=- ⁻¹(2+ 3 ) which of the above is/are correct?

Step-by-step solution

aligned & ⁻¹ x+ ⁻¹ y= ⁻¹ (x 1-y^2 +y 1-x^2 ) & If (-1 x, y 1) & (x^2+y^2 1 ) & ⁻¹ ( 4 5 )+ ⁻¹ 3 5 & = ⁻¹ [ 4 5 1- ( 3 5 )^2 + 3 5 1- ( 4 5 )^2 ] & = ⁻¹ [ 16 25 + 9 25 ] & = ⁻¹(1)= 2 aligned Statement (1) is correct Again- aligned & ⁻¹ x+ ⁻¹ y= + ⁻¹ [ x+y 1-x y ] & If ;(x 0),(y 0) and (x y 1) & ⁻¹( 3 )+ ⁻¹(1)= + ⁻¹ [ 3 +1 1- 3 ] & = + ⁻¹ [ ( 3 +1)(1+ 3 ) (1- 3 )(1+ 3 ) ] aligned aligned & = + ⁻¹ ( 4+2 3 -2 ) & = + ⁻¹[-(2+ 3 )] & = - ⁻¹(2+ 3 ) ⁻¹(-x)=- ⁻¹ x aligned Statement (1) is incorrect.