TP and TQ are two tangents to a circle with centre O such that ∠POQ = 110°. What is the value of ∠PTQ?
Anonymous Quiz
14%
60°
59%
70°
16%
80°
11%
90°
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If two tangents inclined at an angle of 60° are drawn to a circle of radius 3 cm, then the length of each tangent is equal to:
Anonymous Quiz
47%
3√3 cm
17%
3 cm
21%
6 cm
15%
√3 cm
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From a point T, tangents TA and TB are drawn to a circle with centre O. If OT bisects ∠ATB and ∠OTB = 35°, what is ∠ATB?
Anonymous Quiz
27%
35°
31%
55°
37%
70°
6%
90°
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PQ is a tangent to a circle with centre O at point P. If ΔOPQ is an isosceles triangle, then ∠OQP is equal to:
Anonymous Quiz
12%
30°
40%
45°
23%
60°
25%
90°
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Two concentric circles have radii 5 cm and 3 cm. What is the length of the chord of the larger circle which touches the smaller circle?
Anonymous Quiz
11%
6 cm
22%
7 cm
58%
8 cm
9%
10 cm
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A line that intersects a circle at exactly one point is called a...
Anonymous Quiz
13%
Secant
11%
Chord
65%
Tangent
11%
Diameter
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The angle between a tangent to a circle and the radius through the point of contact is always:
Anonymous Quiz
6%
30°
20%
45°
14%
60°
61%
90°
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From a point situated inside a circle, how many tangents can be drawn to the circle?
Anonymous Quiz
15%
One
19%
Two
39%
None
28%
Infinite
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The length of a tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What is the radius of the circle?
Anonymous Quiz
16%
1 cm
20%
2 cm
50%
3 cm
14%
4 cm
A quadrilateral ABCD is drawn to circumscribe a circle. If AB = 12 cm, BC = 15 cm and CD = 14 cm, find the length of AD.
Anonymous Quiz
12%
10 cm
27%
11 cm
30%
12 cm
31%
13 cm
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A circle touches the side BC of ΔABC at P and touches AB and AC when produced at Q and R respectively. If AQ = 10 cm, what is the perimeter of ΔABC?
Anonymous Quiz
18%
10 cm
27%
15 cm
41%
20 cm
13%
25 cm
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A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 13 cm. What is the length of PQ?
Anonymous Quiz
29%
12 cm
32%
13 cm
30%
8.5 cm
10%
14 cm
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A quadrilateral ABCD circumscribes a circle with centre O. If ∠AOB = 125°, then ∠COD is equal to:
Anonymous Quiz
14%
45°
34%
55°
24%
65°
29%
125°
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The distance between two parallel tangents of a circle of radius 6 cm is:
Anonymous Quiz
16%
3 cm
31%
6 cm
11%
9 cm
41%
12 cm
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How many tangents can be drawn to a circle from a point lying on the circle itself?
Anonymous Quiz
14%
Zero
40%
One
17%
Two
29%
Infinite
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What is the maximum number of parallel tangents a circle can have?
Anonymous Quiz
14%
One
51%
Two
9%
Four
26%
Infinite
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If PA and PB are two tangents drawn from an external point P to a circle with centre O, and PA = 8 cm, what is the length of PB?
Anonymous Quiz
13%
4 cm
60%
8 cm
22%
16 cm
4%
6 cm
In a circle with centre O, PA and PB are tangents from an external point P. If ∠APB = 70°, what is the value of ∠AOB?
Anonymous Quiz
12%
100°
61%
110°
19%
120°
8%
130°
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In a circle with centre O, AB is a chord and AC is a tangent at A. If ∠AOB = 130°, find ∠BAC.
Anonymous Quiz
37%
50°
34%
65°
18%
90°
10%
130°
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✨ Quote of the Day
Success is the sum of small efforts repeated day in and day out! 💪
Success is the sum of small efforts repeated day in and day out! 💪
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