Question

In the given figure, if tangents PA and PB are drawn to a circle such that ∠APB = 30° and chord AC is drawn parallel to the tangent PB, then ∠ABC =



(a) 60°

(b) 90°

(c) 30°

(d) None of these

Answer 1

We know that tangents from an external point will be equal in length. Therefore,

PA = PB

Now consider . We have,

PA = PB

We know that angles opposite to equal sides will be equal. Therefore,

Also, sum of all angles of a triangle will be equal to .

Now, as AC || PB;

Also,

The correct answer is option (c).