Given is a sphere centered at the origin with radius r=3 and a ray 4 p(t)= ²) = (-)) + ² (1²) Which of the following statements is true? Select one: O a. The ray does not intersect the sphere. O b. The ray intersects the sphere in two points p(t₁) and p(t₂) where t₁ <1 and t₂>1. O C. The ray intersects the sphere in exactly one point p(t) (i.e. it touches the sphere), where t>1. Od. The ray intersects the sphere in two points p(t₁) and p(t₂) where t₁>1 and t₂>1. O e. The ray intersects the sphere in exactly one point p(t) (i.e. it touches the sphere), where t<1.

Given is a sphere centered at the origin with radius r=3 and a ray 4 p(t)= ²) = (-)) + ² (1²) Which of the following statements is true? Select one: O a. The ray does not intersect the sphere. O b. The ray intersects the sphere in two points p(t₁) and p(t₂) where t₁ <1 and t₂>1. O C. The ray intersects the sphere in exactly one point p(t) (i.e. it touches the sphere), where t>1. Od. The ray intersects the sphere in two points p(t₁) and p(t₂) where t₁>1 and t₂>1. O e. The ray intersects the sphere in exactly one point p(t) (i.e. it touches the sphere), where t<1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 20E

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