Question

ABD and ACE are the two tangents to the circle having centre O, then AB + AC equals ______ of triangle AMN.

• A. 2s
• B. s/2
• C. 3s
• D. s

Answer 1

The correct option is A 2s

Let P be the point of contact of tangent MN to the circle.
AB = AC [ Tangents drawn from the same external point are always equal to each other]


Similarly,
MP= MB and NP = NC
So,
AB + AC = AM + MB +AN+ NC
= AM+ MP + AN + NP
[ MP= MB and NP = NC]
= AM + AN + (MP + NP)
= AM + AN + MN
=2s
​​​​​​​Hence, a is the correct option.