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Two circular grills of different sizes are welded onto a metal sheet so that one lies completely apart from the other (they do not meet or overlap).
A worker wants to draw all straight lines that touch both grills.
How many such common tangent lines exist?

Class 10Number of Tangents from a PointGeometry
  • A2
  • B3
  • C4
  • DInfinitely many

Step-by-Step Solution

Two separate non-intersecting circles have 4 common tangents: 2 direct and 2 transverse.
Answer: C) 4

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