- This is an assessment test.
- These tests focus on geometry and mensuration and are meant to indicate your preparation level for the subject.
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Geometry and Mensuration: Test 22
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Question 1 |
AB= 8 cm and CD= 6 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 1 cm. The radius of the circle is
5 cm | |
4 cm | |
3 cm | |
2 cm |
Question 1 Explanation:
$ \begin{array}{l}Let\text{ }the\text{ }radius\text{ }be\text{ }x\text{ }cm.\\\sqrt{{{x}^{2}}-9}-\sqrt{{{x}^{2}}-16}=1\\Putting\,x=5,\\L.H.S=1=R.H.S\end{array}$
Question 2 |
Two parallel chords are drawn in a circle of diameter 30 cm. The length of one chord is 24 cm and the distance between the two chords is 21 cm. The length of the other chord is
10 cm | |
18 cm | |
12 cm | |
16 cm |
Question 2 Explanation:
Question 3 |
Chords AB and CD of a circle intersect externally at P. If AB= 6 cm, CD= 3 cm and PD= 5 cm, then the length of PB is
5 cm | |
7.35 cm | |
6 cm | |
4 cm |
Question 3 Explanation:
Question 4 |
AB and CD are two parallel chords on the opposite sides of the circle $ \displaystyle \overline{AB}=\text{ }10\text{ }cm,\,\,\overline{CD}=\text{ }24\text{ }cm$and the radius of the circle is 13cm, the distance between the chords is
17 cm | |
15 cm | |
16 cm | |
18 cm |
Question 4 Explanation:
$ \begin{array}{l}Let\text{ }O\text{ }be\text{ }the\text{ }center\text{ }of\text{ }the\text{ }circle.\\OB=OD=13\text{ }cm\\Thus\text{ }the\text{ }distance\text{ }between\text{ }them\text{ }is\\\sqrt{{{13}^{2}}-{{5}^{2}}}+\sqrt{{{13}^{2}}-{{12}^{2}}}\\=12+5\\=17\end{array}$
Question 5 |
The length of the common chord of two circles of radii 15 cm and 20 cm whose centres are 25 cm apart, is (in cm)
12 | |
24 | |
36 | |
48 |
Question 5 Explanation:
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