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MATHEMATICS PAPER 2005.
Time allowed: 3 hours; Maximum Marks: 100
| General Instructions: | |
| 1) | All questions are compulsory. |
| 2) | The question paper consists of 25 questions divided into three sections A, B and C Section A contain 10 (1- 10) questions of 3 marks each. Section B contains 10 questions 10 (11-20) questions of 4 marks each. Section C contains 5 (21-25) questions of 6 marks each. |
| 3) | There is no overall choice. However, an internal choice has been provided in each section. |
| 4) | In question on construction, the drawing should be neat and exactly as per the given measurements. |
| 5) | Use of calculator is not permitted. However, you may ask for Mathematical tables. |
| 6) | Please give the explanation for the answer where applicable. |
21.Prove that the ratio of the areas of two similar triangles is equal to the ratio of squares of their corresponding sides.
22.Two
pillars of equal height stand on either side of a roadway which is 
wide.
From a point on the roadway between the pillars, the elevations of the top of
the pillars are 
and 
Find
the height of the pillars and the position of the point.
23.A tent
is in the form of a cylinder of diameter 
and
height 
,
surmounted by a cone of equal base and height 
.
Find the capacity of the tent and the cost of canvas for making the tent at 
.
24. PAB is
a secant to a circle intersecting it at A and B and PT is a tangent to the
circle. Prove that 
| Section A | Section B | Section C |
