AB and CD are two common tangents to circles which touch each other at C. If D lies on AB such that CD = 4 cm, then AB is equal to
A. 4 cm
B. 6 cm
C. 8 cm
D. 12 cm
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Answer:
Ans...8cm
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Given:
AB and CD are two common tangents to circles which touch each other at C.
D lies on AB such that CD = 4 cm
To find:
AB
Solution:
We know that tangents drwn from exterior points are equal,
Hence CD =AD = 4
CD = BD =4
now,
AB = AD + BD
AB = 4 + 4 = 8
AB = 8cm
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