taiwan-gsat 2025 Q5

taiwan-gsat · Other · gsat__math-b 5 marks Conic sections Conic Identification and Conceptual Properties
In space, two intersecting lines $L , M$ form an angle of $24 ^ { \circ }$ . Rotating $M$ around $L$ one complete revolution generates a right circular cone surface. A plane $E$ is parallel to line $L$. What is the cross-section formed by plane $E$ and this cone surface?
(1) Hyperbola
(2) Parabola
(3) Ellipse (with unequal major and minor axes)
(4) Circle
(5) Two intersecting lines 
In space, two intersecting lines $L , M$ form an angle of $24 ^ { \circ }$ . Rotating $M$ around $L$ one complete revolution generates a right circular cone surface. A plane $E$ is parallel to line $L$. What is the cross-section formed by plane $E$ and this cone surface?\\
(1) Hyperbola\\
(2) Parabola\\
(3) Ellipse (with unequal major and minor axes)\\
(4) Circle\\
(5) Two intersecting lines
Paper Questions
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