Find equations for the tangent lines and the normal lines to the hyperbola for the given value of x. (The normal line at a point is perpendicular to the tangent line at the point.)y² = 1,x = 4(a) tangent lines(smaller y-component of the two tangent points)(larger y-component of the two tangent points)(b) normal lines(smaller y-component of the two tangent points)(larger y-component of the two tangent points)

The given hyperbola is : x24-y212=1y=±x24-1 Let x=4 therefore, y=±424-1=±4-1=±3

Find equations for the tangent lines and the normal lines to the hyperbola for the given value of x. (The normal line at a point is p x2 y2 = 1, x = 4 (a) tangent lines (smaller y-component of the two tangent points) (larger y-component of the two tangent points) (b) normal lines (smaller y-component of the two tangent points) (larger y-component of the two tangent points)

Find equations for the tangent lines and the normal lines to the hyperbola for the given value of x. (The normal line at a point is p x2 y2 = 1, x = 4 (a) tangent lines (smaller y-component of the two tangent points) (larger y-component of the two tangent points) (b) normal lines (smaller y-component of the two tangent points) (larger y-component of the two tangent points)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 36E

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Question

Find equations for the tangent lines and the normal lines to the hyperbola for the given value of x. (The normal line at a point is perpendicular to the tangent line at the point.)
y² = 1,
x = 4
(a) tangent lines
(smaller y-component of the two tangent points)
(larger y-component of the two tangent points)
(b) normal lines
(smaller y-component of the two tangent points)
(larger y-component of the two tangent points)

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