(Paper) CBSE Class 12th Mathematics Exam Paper, 2003 (Compartment Delhi : Set-1)
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Paper : CBSE Class 12th Mathematics Exam Paper, 2003 (Compartment Delhi : Set-1)
General Instructions:
1. The question paper consists of three sections A, B and C Section A is
compulsory for all students. In addition to Section A, every student has to
attempt either Section B OR Section C.
2. For Section A Question numbers 1 to 8 are of 3 marks each. Question numbers 9 to 15 are of 4 marks each. Question numbers 16 to 18 are of 6 marks each.
3. For Section B/Section C Question numbers 19 to 22 are of 3 marks each. Question numbers 23 to 25 are of 4 marks each. Question number 26 is of 6 marks.
4. All questions are compulsory.
5. Internal choices have been provided in some questions. You have to attempt only one of the choices in such questions
6. Use of calculator is not permitted. However, you may ask for
logarithmic and statistical tables, if required.
Q. 1. Using vectors, prove that the mid-point of the hypotenuse of a right-angled triangle is equidistant from its vertices.
Q. 2. Three forces 5 P, 10 P and 13 P in a plane act on a particle. The angle between any two of them is 1200. Find the magnitude and direction of the resultant,
Q. 3. A body has a velocity of 15 m/sec at a certain instant and 10 seconds later, it has a velocity of 45 m/sec. If the velocity changes uniformly, Find the distance by the body.
Q. 4. Find the vector equation of the line passing through the point A (2, -1, 1) and parallel to the line joining the points B (-1, 4, 1) and C (1, 2, 2). Also find the Cartesian equation of the line.
Q. 5. Find the first three moments about the value 5 for the following set of numbers: 3, 5, 7, 9, 11
Q. 6. A company has two plants to manufacture bicycles. The first plant manufactures 60% of the bicycles and the second plant 40%. 80% of the bicycles are rated of standard quality at the first plant and 90% of standard quality at the second plant. A bicycle is picked up at random and found to be of standard quality. Find the probability that it comes from the second plant.
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