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Class 10 Maths
Circles
Quiz 1
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If radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is
0%
3 cm
0%
6 cm
0%
9 cm
0%
1 cm
Explanation
6 cm
In Fig., if ∠AOB = 125°, then ∠COD is equal to
0%
62.5°
0%
45°
0%
35°
0%
55°
Explanation
55°
If Fig., AB is a chord of the circle and AOC is its diameter such that ∠ACB = 50°. If AT is the tangent to the circle at the point A, the ∠BAT is equal to
0%
65°
0%
60°
0%
50°
0%
40°
Explanation
50°
From a point P which is at a distance of 13 cm from the point O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is
0%
60 cm²
0%
65 cm²
0%
30 cm²
0%
32.5 cm²
Explanation
60 cm²
At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is
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4 cm
0%
5 cm
0%
6 cm
0%
8 cm
Explanation
8 cm
In Fig., AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to
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4 cm
0%
2 cm
0%
2√3 cm
0%
4√3 cm
Explanation
4√3 cm
In Fig., if O is the centre of a circle PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then ∠POQ is equal to
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100°
0%
80°
0%
90°
0%
75°
Explanation
100°
In Fig., if PA and PB are tangents to the circle with centre 0 such that ∠APB = 50°, then ∠AOB is equal to
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25°
0%
130°
0%
100°
0%
50°
Explanation
130°
If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm the length of each tangent is equal to
0%
\(\frac{3}{2}\)√3 cm
0%
6 cm
0%
3 cm
0%
3√3 cm
Explanation
3√3 cm
In Fig., if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and ∠BQR = 70°, then ∠AQB is equal to
0%
20°
0%
40°
0%
35°
0%
45°
Explanation
40°
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