GATE DA 2024 Q10: Cross-section of two cones joined at the base
- General Aptitude
- 2 marks
- MCQ
- −2/3 if wrong
Question
Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
Try it: multiple choice: exactly one correct option
Show answer and explanation
Answer: A (official GATE 2024 final answer key)
Concept used: Plane sections of solids: a plane through a cone's axis cuts it in an isosceles triangle.
First step: Each cone gives an isosceles triangle on the same base diameter; the two triangles together have four equal sides.
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Source: official GATE 2024 DA question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key
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