Question

To circles with centre X and Y touch externally at P. If tangents AT and BT meet the common tangent at T, then prove that AT= BT

Answer 1

Here is the answer of this question

Answer 2

Answer:

given- AT and BT meeth the common tangent at T.

FIND- AT= BT

Step-by-step explanation:

PT and AT are two tangents drawn to bigger circle from an external point T.

we know that lenght of the tangents from external points to circle are equal

. AP=BT_(i)

similarly PT and BT are two tangents drawn to small circles from external point T.

again we have

AP= BT_(ii)

from equation I and ii we have AT= BT

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