Login/Sign Up
Home » Find the equations of the tangent and normal to the hyperbola x^2/a^2 + y^2/ b^2 =1 at the point (x0 , y0 ).
Find the equations of the tangent and normal to the hyperbola x^2/a^2 + y^2/ b^2 =1 at the point (x0 , y0 ).
Applications of Derivatives | CBSE | Class 12 | Exercise 6.3 | Maths | NCERT
Find the equations of the tangent and normal to the hyperbola x^2/a^2 + y^2/ b^2 =1 at the point (x0 , y0 ).

Given: Equation of the hyperbola ……….(i)

  

  

  ……….(ii)

 Slope of tangent at  is 

 Equation of the tangent at  is 

 

 

   ……….(iii)

Since  lies on the hyperbola (i), therefore, 

  From eq. (iii),  

Now, Slope of normal at  = 

 Equation of the normal at  is 

 

 

Dividing both sides by 

 

i

More Material