Let P(x1, y1) be a point on the parabola r? = 4py, p> 0, with focus F(0, p). Let a be the angle between the parabola and the line segment FP, and let B be the angle between the vertical line r = x1 and the parabola. %3D (a) Determine an equation of the tangent line of the parabola at point P. Given two lines L1 and L2 intersecting at an angle 0, if m1 and m2 are the slopes of L1 and L2, respectively, then it is known that m2 – mị 1+ mịm2 tan e = (b) By using the fact given above, show that a = B.

Let P(x1, y1) be a point on the parabola r? = 4py, p> 0, with focus F(0, p). Let a be the angle between the parabola and the line segment FP, and let B be the angle between the vertical line r = x1 and the parabola. %3D (a) Determine an equation of the tangent line of the parabola at point P. Given two lines L1 and L2 intersecting at an angle 0, if m1 and m2 are the slopes of L1 and L2, respectively, then it is known that m2 – mị 1+ mịm2 tan e = (b) By using the fact given above, show that a = B.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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