2 circles with centres O and O' of radii 3 and 4cm respectively intersect at 2 points P - Maths - Circles

Question

2 circles with centres O and O' of radii 3 and 4cm
respectively intersect at 2 points P & Q such tht op & o'p
ARE TANGENTS 2 THE 2 CIRCLES fIND THE LENGTH OF THE COMMON CHORD
pq

Sajan Coolz · Accepted Answer

ok since at 1st we got the same ans, draw the correct figure as
per th data now,
join o' and o and let them bisect common chord PQ at R which
also forms a rt angle at r find OO' using pythagoreas theorem frm
rt angld tr POO' which will be 5 cm Now suppose oR'=x and oR=5-x
then
Find PR frm trngl's PRO and PRO' using pythagoreas theorem we
get:
from tr PRO:
pr=root10x-x^2-16 (i)
from tr PRO' :
pr=root16-x^2 (i)
equate them and u'll have the master key(x) that will be 3 2cm
now find pr frm tr PRO' using pythagoreas and that will b 2 4cm and
then PQ=2PR=4 8cm ans

2 circles with centres O and O' of radii 3 and 4cm respectively intersect at 2 points P & Q such tht op & o'p ARE TANGENTS 2 THE 2 CIRCLES . fIND THE LENGTH OF THE COMMON CHORD pq.