Question

PQ tangent to a circle with centre O at point Q ,A chord QA is drawn parallel to PQ .if AOB is diameter of circle prove that pb is tangent to circle at point B

Answer 1

as we see PQ is a tangent and it meets the circle at Q so angle PQO is 90° the angle qoa and boc( c is pb produced ) as both ∆ are similar by aa test angle pba is equal to angle PQO = 90°. so as angle pba is 90° pb is tangent

Answer 2

as we see PQ is a tangent and it meets the circle at Q so angle PQO is 90° the angle qoa and boc( c is pb produced ) as both ∆ are similar by aa test angle pba is equal to angle PQO = 90°. so as angle pba is 90° pb is tangent