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The tangent to x²/a² − y²/b² = 1 at the point (x1, y1) has equation
Axx1/a² − yy1/b² = 0
Bxx1/a² + yy1/b² = 1
Cxx1/b² − yy1/a² = 1
Dxx1/a² − yy1/b² = 1
Answer & Solution
Correct answer: D. xx1/a² − yy1/b² = 1
Replacing x² by xx1 and y² by yy1 in the curve gives xx1/a² − yy1/b² = 1.
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