If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B

If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B, D respectively and if CD = 26, find the length of AB.

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(a) 33

(b) 30

(c) 27

(d) 29

Sol:

Let difference between centers of the circles = a

ATQ,

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