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Tangent to an Ellipse

Mathematics · Class 12

At (x1,y1) on x^frac2a²+y^frac2b²=1, tangent is xx1/a²+yy1/b²=1.

Tangent to an ellipse
rule
worked example
Tangent to an ellipse: At (x1,y1) on x^2a²+y^2b²=1, tangent is xx1/a²+yy1/b²=1.
CONCEPT AND RULE: At (x1,y1) on x^2a²+y^2b²=1, tangent is xx1/a²+yy1/b²=1.
METHOD: For tangent to an ellipse, identify the given information and required result. Select the matching d
At (x1,y1) on x^frac2a²+y^frac2b²=1, tangent is xx1/a²+yy1/b²=1.
Worked pattern: At (3,4) on x^frac225+y^frac216=1 is 3x/25+y/4=1.

Right triangle — Tangent to an Ellipse — original sketch for this lesson (not copied from a textbook).