Topic explanation

Standard explanation

At (x1,y1), tangent is xx1/a^2-yy1/b^2=1 for the horizontal standard form.

Key points

• Tangent to a hyperbola
• rule
• worked example
• Tangent to a hyperbola: At (x1,y1), tangent is xx1/a^2-yy1/b^2=1 for the horizontal standard form.
• CONCEPT AND RULE: At (x1,y1), tangent is xx1/a^2-yy1/b^2=1 for the horizontal standard form.
• METHOD: For tangent to a hyperbola, identify the given information and required result. Select the matching
• At (x1,y1), tangent is xx1/a^2-yy1/b^2=1 for the horizontal standard form.
• Worked pattern: At (3,0) on x^frac29-y^frac24=1, tangent x=3.

Labelled diagram