Find the equation of normal to the hyperbola `x^2-9y^2=7`
at point (4, 1).
Text Solution
AI Generated Solution
To find the equation of the normal to the hyperbola \( x^2 - 9y^2 = 7 \) at the point \( (4, 1) \), we will follow these steps:
### Step 1: Differentiate the equation of the hyperbola
We start with the equation of the hyperbola:
\[
x^2 - 9y^2 = 7
\]
We differentiate both sides with respect to \( x \):
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