Question

Determine whether a tangent line is shown in this figure?
a. no
b. yes

Answer 1

No, the tangent line needs to be against the circle from where it leaves. This is just a straight up right angle.

Answer 2

Option B is correct .i.e., Yes.

Explanation:

We are given with length of three line segments .

10 , 6 and 8.

We use the result to check if one line is tangent or not.

Result: Tangent is perpendicular to radius at point of contact.

So if AB is tangent than ABO form a right angled triangle and AB is right angle.

AO² = 10² = 100

AB² + BO² = 8² + 6² = 64 + 36 = 100

Since AO² = AB² + BO²

According to Pythagoras theorem,

∠B is 90° which implies AB is tangents to circle.

Therefore, Option B is correct .i.e., Yes.