#### A tangent to the curve cuts the line y=x at a point which is at a distance of 1 unit from y-axis. The equation of the curve is Option 1) Option 2) Option 3) Option 4) None

As we discussed in concept

Solution of Differential Equation -

put

- wherein

Equation with convert to

Let the point (1,1) (because line is y=x)

equation of tangent

where

= slope of tangent.

Option 1)

This option is correct.

Option 2)

This option is incorrect.

Option 3)

This option is incorrect.

Option 4)

None

This option is incorrect.