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Question

AB, BC, and AC are tangents to the circle at M, X, and N respectively.
Also, AM = 2 cm, BX = 3 cm, NC = 4 cm
Then, AN + XC + MB = 9 cm.


A

True

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B

False

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Solution

The correct option is A

True


If two tangents are drawn to a circle from an exterior point, then the tangents are equal in length.

Hence, in the above figure.

AM = AN = 2 cm,

NC = CX = 4 cm and

BX = MB = 3 cm.

AN = 2 cm, CX = 4 cm, and MB = 3 cm

AN + XC + MB = 2 + 4 + 3 = 9 cm

Hence, the above statement is true.


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