What is the equation of normal to the ellipse
x225+y216=2 at (5,4).
5x - 4y = 9
The equation of normal to the ellipse x2a2+y2b2=1 is given by
But the given equation of ellipse has 2 on RHS. We will divide by 2 throughout to get the values of a2 and b2
⇒a2=50 and b2=32⇒Equation of normal is50x5−32y4=50−32=18or10x−8y=18or5x−4y=9