Problem 898

The given  point is on the curve. Find the lines that are

a. Tangent

b. Normal to the curve at the given point.

x²  +xy – y² = -4 ,(2,4)

 

Solution:-

 

a. Give the equation of the that is tangent to the curve at the given point.

y =  

 

b. Given the equation of the line that is normal to the curve at  the given point.

y =