Class 10th Maths notes
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If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80°, then what is the measure of ∠POA?
Anonymous Quiz
15%
40°
37%
50°
21%
80°
26%
100°
How many tangents can be drawn to a circle from a point lying inside the circle?
Anonymous Quiz
38%
0
25%
1
18%
2
19%
Infinite
A parallelogram circumscribing a circle is always a:
Anonymous Quiz
18%
Trapezium
36%
Rectangle
32%
Rhombus
14%
Square
In a circle with centre O, PA and PB are tangents from an external point P. If ∠OPB = 30°, then ∠AOB is:
Anonymous Quiz
21%
60°
28%
90°
40%
120°
11%
150°
🔥2
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
10%
30°
43%
45°
17%
60°
30%
90°
5😱1
How many tangents can be drawn to a circle at a single point on the circle?
Anonymous Quiz
10%
0
41%
1
24%
2
25%
Infinite
👏1
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
34%
12 cm
22%
13 cm
24%
8.5 cm
21%
√119 cm
😱1
The angle between two tangents from an external point P to a circle is supplementary to the angle subtended by the line segment joining points of contact at the center. If the angle at the center is 130°, find the angle between the tangents.
Anonymous Quiz
13%
30°
27%
40°
45%
50°
15%
60°
5
From a point P, which is 10 cm away from the centre of a circle, a tangent PT of length 8 cm is drawn. What is the radius of the circle?
Anonymous Quiz
20%
4 cm
25%
5 cm
46%
6 cm
8%
7 cm
😱3
The tangents drawn at the ends of a diameter of a circle are:
Anonymous Quiz
34%
Perpendicular
42%
Parallel
21%
Intersecting
3%
Coincident
2
Two concentric circles are of radii 13 cm and 5 cm. What is the length of the chord of the larger circle which touches the smaller circle?
Anonymous Quiz
29%
12 cm
35%
20 cm
29%
24 cm
8%
26 cm
1
The lengths of tangents drawn from an external point to a circle are:
Anonymous Quiz
11%
Always different
59%
Always equal
21%
Parallel
9%
Perpendicular
A quadrilateral ABCD is drawn to circumscribe a circle. If AB = 12 cm, BC = 15 cm and CD = 14 cm, what is the length of AD?
Anonymous Quiz
22%
10 cm
38%
11 cm
23%
12 cm
17%
13 cm
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