Question

In circle P, PA¯¯¯¯¯PA¯ is a radius and AB¯¯¯¯¯AB¯ is a tangent segment. Which statement must be true?

PA=BA

∠PAB∠PAB is an acute angle.

∠PAB∠PAB is a right angle.

PA=PB

Answer 1

the answer is ∠PAB is a right angle

Answer 2

It is given in the question that, PA is a radius and AB is the tangent segment .

And in a circle, radius and tangent are always perpendicular, it means they form 90 degree with each other . Or angle PAB is a right angle .

And we cant say anything about the length s of PA and AB, neither of PA and PB.

So out of the four options, correct option is the third option .