CirclesVideo challenge · SAV17
Two Circles and a Hidden Midpoint
CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.
Step 1 of 3
The problem
Two circles touch externally at . A common tangent touches the larger circle at and the smaller circle at . The tangent to both circles at meets at . Must be the midpoint of ? Give a proof or a counterexample.
Step 1 · Your move
Before opening any steps, what is your answer: must be the midpoint of ?
Two circles touch externally at T · Common tangent AB · Tangent at T meets AB at P
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