Q. 154.5( 20 Votes )

# <span lang="EN-US

Answer :

Join AP.

Let PQ intersect AB at L,

Then, AB = 5 – 3 = 2 cm

PQ is the perpendicular bisector of AB,

Then,

AL = (1/2) AB

AL = (1/2) 2 = 1 cm

In triangle APL,

PL2 = PA2 - AL2

PL2 = 52 - 12

PL2= 25 - 1

PL2= 24

PL = 2 √6 cm

Now,

PQ = 2 PL

PQ = 2 × 2 √6

PQ = 4 √6 cm

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