Hyperbola

We know that, the equation of normal at the point

%5Cleft(x_%7B1%7D%2C%20y_%7B1%7D%5Cright)

to the hyperbola

%5Cfrac%7Bx%5E%7B2%7D%7D%7Ba%5E%7B2%7D%7D-%5Cfrac%7By%5E%7B2%7D%7D%7Bb%5E%7B2%7D%7D%3D1

%5Cfrac%7Ba%5E%7B2%7D%20x%7D%7Bx_%7B1%7D%7D%2B%5Cfrac%7Bb%5E%7B2%7D%20y%7D%7By_%7B1%7D%7D%3Da%5E%7B2%7D%2Bb%5E%7B2%7D

Given equation is

%5Cfrac%7Bx%5E%7B2%7D%7D%7B16%7D-%5Cfrac%7By%5E%7B2%7D%7D%7B9%7D%3D1

Here,

%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2Ca%5E%7B2%7D%3D16%2C%5C%2C%5C%2C%20b%5E%7B2%7D%3D9

%5Ctherefore%5C%2C%5C%2C%5C%2C

The equation of normal at the point

(-4%2C0)

%5Cfrac%7B16%20x%7D%7B-4%7D%2B%5Cfrac%7B9%20y%7D%7B0%7D%3D16%2B9

%5CRightarrow%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20%5Cfrac%7B9%20y%7D%7B0%7D%3D25%2B%5Cfrac%7B16%20x%7D%7B4%7D

%5CRightarrow%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C9%20y%3D0

%5CRightarrow%20%5C%2C%5C%2C%5C%2C%5C%2Cy%3D0

Chapter Questions
4 MCQs