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Common Tangents - Circles with Equal Radius

**A. External Tangents**
Draw the given circles with centres A and B
- Draw a line segment joining A and B
- At A and B construct perpendiculars to AB on its same side to intersect given circles at D and E.
- Draw a line joining D and E. This line is the required tangent. FG is the other tangent, which can be drawn similarly.

**B. Internal Tangents**
Draw the given circles with centres P and Q
- Draw a line segment joining P and Q.
- Bisect PQ at O. Draw a circle with OP as diameter to cut the circle at M and R.
- With centre O and radius OM , draw a circle to cut the other circle at S and N.
- Draw line through M and N. This is the required tangent.
- Similarly , draw a line through R and S , which is the other required tangent.

Hi Sanjay,

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