Çözüldü Space Geometry - Intersection of Sphere and Plane

Konusu 'TOEFL - IELTS - SAT - ACT - GRE - GMAT Hazırlık' forumundadır ve Honore tarafından 27 Temmuz 2022 başlatılmıştır.

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  1. Honore

    Honore Yönetici Yönetici

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    If O is a fixed point on a plane M, What is the set of all points in space that are 5 inches from O and 3 inches from plane M?

    A) A circle
    B) A square
    C) Two circles
    D) A sphere
    E) A cylinder


    https://1filedownload.com/mathematics-level-1-testsat-2/
    (son soru)

    Solution: https://qa.pwntestprep.com/post/123511950996/if-o-is-a-fixed-point-on-a-plane-m-what-is-the
    "Think of it in terms of intersections. You have all points 3 inches from plane M: that’s 2 more planes, parallel to plane M, 3 inches away from it on either side. So you have 3 parallel planes. Then you have all points 5 inches from O. That’s a sphere. The sphere is large enough that it’ll intersect both of the new planes. When a sphere intersects a plane, it makes a circle. Since there are 2 planes in question, you’ll get 2 circles."

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