Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub
Mathematics3D-Coordinate GeometryPlaneMedium2 minQB
MathematicsMediumsingle choice
Passage / Comprehension
Let a plane whose equation is x + y + z = 50 cuts the co-ordinate axes at points A,B& C. A tetrahedron OABC is formed where 'O' is origin.
On the basis of above information, answer the following questions :
A cube is constructed having OA, OB and OC as coterminous edges. An insect travels on the cube's faces from A to the opposite vertex P(0,50,50). Find the shortest distance it must travel along the surface.
Options:
Answer:
D
Solution:
The intercepts give cube edge 50. A and P are opposite vertices. Unfold two adjacent faces into a 100 by 50 rectangle. Its diagonal is the shortest surface path. The three possible unfoldings have the same length.
Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Plane
⏱ 2mℹ️ Source: QB
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