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UP TGT Mathematics Calculus Differentiation Test Series - Part 3

The equation of the tangent to the hyperbola x²/a² - y²/b² = 1 at (x₁, y₁) is:

Type: MCQ • Marks: 1
The equation of the tangent to the hyperbola x²/a² - y²/b² = 1 at (x₁, y₁) is:
Options
A. xx₁/a² + yy₁/b² = 1
B. x/x₁ - y/y₁ = 1
C. xx₁ - yy₁ = a²
D. xx₁/a² - yy₁/b² = 1
Explanation
Standard tangent for hyperbola: xx₁/a² - yy₁/b² = 1.
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