fig 1:

SOLUTION:

Given: Equation of the curve  ……….(i)

  Slope of the tangent at point  is 

= ……….(ii)

Again slope of the line  is ……….(iii)

According to the question,  [Parallel lines have same slope]

  From eq. (i),  

= 

= 

Therefore, point of contact is .

  Equation of the required tangent is