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 In Fig. 9.13, AB and CD are common tangents to two circles of unequal radii. Prove that AB = CD.

NCERT Exemplar Class 10 Maths Chapter 9 Ex. 9.3 Question 5

As indicated by the inquiry,

Abdominal muscle = CD

Development: Produce AB and CD, to converge at P.

Confirmation:

Think about the circle with more noteworthy span.

Digressions drawn from an outside highlight a circle are equivalent

AP = CP … (1)

Too,

Think about the circle with more modest sweep.

Digressions drawn from an outer highlight a circle are equivalent

\[BP\text{ }=\text{ }BD\text{ }\ldots \text{ }\left( 2 \right)\]

Deduct Equation (2) from (1). We Get

\[AP\text{ }\text{ }BP\text{ }=\text{ }CP\text{ }\text{ }BD\]

Abdominal muscle = CD

Thus Proved.