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
• B. False

Answer 1

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.

$\therefore$ AN = 2 cm, CX = 4 cm, and MB = 3 cm

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

Hence, the above statement is true.