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WorksheetsCircles (English Medium)
Total questions: 20
Worksheet time: 18mins
The distance between two parallel tangents of a circle of radius 4 cm is
8
6
4
2
A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is
23
15
9
5
Two concentric circles of radii a and b (a > b) are given. Find the length of the chord of the larger circle which touches the smaller circle.
a2+b2
a2−b2
2a2−b2
2a2+b2
If TP and TQ are two tangents to a circle with center O such that ∠POQ = 110°, then, ∠PTO is equal to:
700
1100
900
350
In the given figure, AB is a diameter of the circle. If AC = BC, then ∠CAB is equal to
450
300
600
900
In figure, O is the centre of a circle, AB is a chord and AT is the tangent at A. If ∠AOB = 100°, then ∠BAT is equal to
1000
500
400
900
The tangents drawn at the extremities of the diameter of a circle are
perpendicular
equal
parallel
none of these
In the given figure, PA and PB are tangents from a point P to a circle with centre O. Then the quadrilateral OAPB must be a
Square
Rhombus
Parallelogram
Cyclic quadrilateral
TA and TB are the tangents drawn to a circle from an external point T. If ∠ATB = 60 then Δ TAB is
Equilateral
Right Angled
Obtuse angled
Isosceles
A chord of a circle is equal to the radius of the circle, the angle subtended by the chord at a point on the minor arc
900
600
1800
1500
The length of the tangent drawn from a point 8 cm away from the centre of a circle, of radius 6 cm is
5
7
10
10
In fig, O is the centre of the circle. PQ is tangent to the circle and secant PAB passes through the centre O. If PQ = 5 cm and PA = 1 cm, then the value of 'x' is
21
12
6
15
In terms of radius, a diameter is equals to
r2
2r
2r
πr
If two tangents inclined at an angle 60 are drawn to a circle of radius 3 cm then the length of each tangent is
23
33
43
3
In the given figure, PT is a tangent drawn from external point P, then the value of OT is
15
12
10
8
In the given figure, AB and AC are tangents to the circle with centre O such that ∠BAC = 40°, then ∠BOC is equal to
400
500
1200
1400
If O is the center of a circle of radius R and AB is a chord of the circle at a distance R/2 from O and OP ⊥ AB, then ∠PBO =
300
450
600
900
The length of tangents drawn from an external point to the circle
perpendicular
equal
parallel
are not defined
In the given figure, if ∠RPS = 25°, the value of ∠ROS is
135
145
165
155
Both tangent and radii
ordinate from the center of the circle
meet at straight angles
are half a circle's half a circles length
meet a circle at exactly one point
