Considering the properties of non-developable ruled surfaces, analyze the following statements: I. Two lines of the surface infinitely close to eac...
Considering the properties of non-developable ruled surfaces, analyze the following statements: I. Two lines of the surface infinitely close to each other do not intersect. II. Two lines of the surface infinitely close to each other intersect. III. They can be represented on a plane. IV. The tangent plane to the surface at a point contains a line of that surface that passes through that point, but is not tangent to the surface at other points of that line. Choose the alternative that presents the correct sequence:
I. Two lines of the surface infinitely close to each other do not intersect.
II. Two lines of the surface infinitely close to each other intersect.
III. They can be represented on a plane.
IV. The tangent plane to the surface at a point contains a line of that surface that passes through that point, but is not tangent to the surface at other points of that line.
a) III, II, IV, I
b) I, III, II, IV
c) II, I, IV, III
d) II, III, IV, I
e) IV, III, II, I
I. Two lines of the surface infinitely close to each other do not intersect.
II. Two lines of the surface infinitely close to each other intersect.
III. They can be represented on a plane.
IV. The tangent plane to the surface at a point contains a line of that surface that passes through that point, but is not tangent to the surface at other points of that line.
a) III, II, IV, I
b) I, III, II, IV
c) II, I, IV, III
d) II, III, IV, I
e) IV, III, II, I
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A alternativa correta é a letra "d) II, III, IV, I". I. Duas linhas da superfície infinitamente próximas uma da outra se intersectam. II. Duas linhas da superfície infinitamente próximas uma da outra não se intersectam. III. Elas não podem ser representadas em um plano. IV. O plano tangente à superfície em um ponto contém uma linha da superfície que passa por esse ponto, mas não é tangente à superfície em outros pontos dessa linha. Portanto, a alternativa correta é a letra "d) II, III, IV, I".
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