YASH CLASSES
CIRCLES
1. If two chords of a circle are equal ,
then their
Corresponding arcs .
2. Prove that the perpendicular
bisectors of two
chords
of a circle intersect at its centre .
3. There is only and only one circle passing
Through three non collinear points.
4. If two circles intersect in two points prove that
The line through
the centers is the
perpendicular bisectors of the common chord.
5.Find the length of the chord which is 5 cm
form
the
center of a circle of radius 13 cm .
6. PQ and RS are two parallel chords of a circle
Whose centre is O and radius is 10 cm . If
PQ = 16 cm and RS = 12 cm find the distance
between PQ and RS if they lie , (i) on the
same
side of the center O. (II) on opposite side
of the center O .
7. In a circle of radius 5 cm and equal
chords such
That 6 cm . Find the length of the chord
BC.
8. In fig l is a line interesting the two concentric
circles whose common
center is O at the
points A, B,C and D show that AB = CD .
9. If one side of cyclic quadrilateral is
placed then
exterior angle is equal to the opposite
angle?
10.If sum of any pair of opposite angles of a
quadrilateral is 180° then the quadrilateral
is cyclic .maths 9th