AB is a chord to a circle with centre O BA is extended to a point P outside the - Maths - Circles

Question

AB is a chord to a circle with centre O BA is extended to a
point P outside the circle A is drawn to the circle from P, which
intersects the circle at T If AB = 5 cm and AP = 4 cm, find PT

Ashutosh Verma · Accepted Answer

Answer :

From given information we draw our diagram , As :
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/images/fig26-11-2%20jpg"
style="width: 266px; height: 196px;">
Here

AB = 5 cm
And
AP = 4 cm
So,
PB = PA + AB = 4 + 5 = 9 cm
Here
AP BP is a secant and PT is a tangent , So from relationship
between secant and tangent , we get

PT2 = PA × PB

PT2 = 4 × 9

PT2 = 36

PT2 = 62

PT = 6 cm ( Ans )

AB is a chord to a circle with centre O. BA is extended to a point P outside the circle. A is drawn to the circle from P, which intersects the circle at T. If AB = 5 cm and AP = 4 cm, find PT.