There are two lines through the point (−1, 3) that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0. Find the equation of these two lines.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 495E: If y varies directly as x and y=5, when x=3 ., find the equation that relates x and y.
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There are two lines through the point (−1, 3) that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0. Find the equation of these two lines.

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