Find the number of direct common tangents of two circles which touch each other externally.
WBBSE
Class X
Mathematics
Theorem Related to a Tangent To a Circle
01 Mark
2024
Two circles touching externally have 2 direct common tangents.
Explanation:
Direct (external) common tangents do not meet the line joining the centres. For two externally tangent circles there are two such outer tangents; the third common tangent is the one at the point of contact (it meets the line of centres), so it is not a direct tangent.
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