Mathematics 2008 Question Papers

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Prove that the lengths of the two tangents drawn from an external point to a circle are equal. Using the above, do the following :
Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which is tangent to the smaller circle.

Sol. Part I : See Theorem 6, Page (xxxii).

Part II.

Q. 29. A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 20 cm and radius of the base is 3.5 cm, find the total surface area of the article.

Sol. Total surface area of the article.

Q. 30. Find the mean, mode and median for the following data.

Sol.

Class	Freq.(fi)	cfi	xi		Fidi’
0 – 10	8	5	-2	-2
10 – 20	16	24	15	-2	0
20 – 30	36	60	25	0
30 - 40	34	94	35	1
Total

Mathematics 2008 Question Papers Class X
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