PQ is diameter of the circle. If OX=4cm, find the length PR and ZQRP.
having same centre.
2
T:00' = 10 cm
mon chord intersecting
In the given figure, O is the centre of the circle. OX and OY are
perpendiculars drawn from centre to chords AB and PQ
respectively.If AB = 8 cm, OX = 3 cm and OY = 2.5 cm, then
3. Two chords of a circle C(0,r) of lengths 10 cm and 7 cm are parallel. If the distance between them
is 6 cm, find the radius of the circle.
(i) radius of the circle
(ii) length of chord PQ.
Х
find
(2)
B
А A
8
In the given figure, OX is the perpendicular drawn from the centre of the circle to chord QR.
5
C СІ
Itx
O'
χ
R
Х
B
s passes through
C
dicular bisector
D
5. Draw different pairs of circles. How many points does each pair have in common? What is the
maximum number of common points ?
6. Show that perpendicular drawn from the centre of the circle to a chord bisects the angle
subtended by the chord at the centre.
7. In the given figure, two equal chords PQ and PR of a circle centred at O, intersect at P. Show that
OP bisects 2 QPR.
о
Р
С C
B
g and hence,
R
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