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The normal to x²/a² − y²/b² = 1 at (x₁, y₁) is
Ab²x/x₁ + a²y/y₁ = a² + b²
Ba²x/x₁ + b²y/y₁ = a² − b²
Ca²x/x₁ + b²y/y₁ = a² + b²
Da²x/x₁ − b²y/y₁ = a² + b²
Answer & Solution
Correct answer: C. a²x/x₁ + b²y/y₁ = a² + b²
The normal is perpendicular to the tangent and has the form a²x/x₁ + b²y/y₁ = a² + b².
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