Mathematics
In the adjoining figure, two circles touch each other at A. BC and AP are common tangents to these circles. If BP = 3.8 cm, then the length of BC is equal to
7.6 cm
1.9 cm
11.4 cm
5.7 cm
Answer
We know that if two tangents are drawn from an external point to a circle then, the lengths of the tangents are equal.
From figure,
PA and PB are the tangents to the first circle.
∴ PA = PB = 3.8 cm
PA and PC are tangents to the second circle.
∴ PC = PA = 3.8 cm
From figure,
BC = PB + PC = 3.8 + 3.8 = 7.6 cm.
Hence, Option 1 is the correct option.
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