Question

Seg PA and seg PB are tangents to a circle with centre O. A and B are the points of contact.

if PA = 5cm, then the length of PB = ---------------

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Answer 1

Answer:

From figure,

CA is perpendicular to AP and CB is perpendicular to BP

AC =BC = 5 (radius of the circle)

Also AP = PB = (Tangent from point P )

So,BPAC is a square

AP = PB = BC =CA =5 cm

So , length of Tangent are 5 cm each

Answer 2

Given:

Segment PA and PB are tangents to a circle with center O.

A and B are the points of contact.

PA = 5cm

To Find:

The length of PB

Solution:

AC = BC = 5cm [ radius of the circle]

CA ⊥ AP and CB ⊥ BP [AC = BC]

AP = PB [tangents from point B of the circle]

So, BPAC is a square.

Then,

AP = PB = BC = CA = 5cm

Which means the length of PB = 5cm

Therefore, the length of PB = 5cm.