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# Institute of Chartered Financial Analysts of India (ICFAI) University 2003 B.Sc Mathematics semestar - Question Paper

Monday, 17 June 2013 10:20Web

SAMPLE PAPERS – 2003

Mathematics

General Instructions
1. All ques. compulsory

3. All ques. in part A are to be answered in 1 word , 1 sentence or as per the 2exact requirement of the ques.
4. there is no overall option .However internal option has been given in 1 ques. of two marks every ,three ques. of 3 marks every and 2 ques. of six marks every .You have to attempt only 1 of the options in all such ques..
5. In ques. on construction ,drawings should be neat and exactly as per the provided measurements
6. Use of calculators is not permitted .However you may ask for mathematical tables
part A
1. State the Euclid’s Division Lemma.
2. Find the condition that if the linear equations and have unique solution.
3. For the polynomial , what is the sum of zeros?
4. How many terms of the AP will provide the sum zero
5. If the mean of n observations is then obtain
6. One letter is opted at random from the word ‘UNNECESSARY’. obtain the probability of selecting an E
7. Evaluate
8. The lengths of 2 cylinders are in the ratio 3:1 and their diameters are in the ratio 1:2 .Calculate the ratio of their quantities
9. In the provided figure DE is parallel to BC and determine

10. A point P is 13 cm from the centre of a circle. If the radius of the circle is five cm,
then the length of the tangent drawn from P to the circle is:

part B

11. If the zeroes of the polynomial x3 – 3x2 + x + one are a – b, a, a + b, obtain a and b.
12. The diagonals of a quadrilateral ABCD intersect every other at the point O such that . Show that ABCD is a trapezium.
13. Consider ??ACB, right-angled at C, in which AB: AC = . obtain ?ABC and also determine the values of Cos2B+Sin2B
14. Find the coordinates of the point P on y-axis, equidistant from 2 points A(-3,4) and B(3,6) on the identical plane.
15. Cards numbered 3, 4, 5, 6, ------ 17 are put in a box and mixed thoroughly. A card is drawn at random from the box. obtain the probability that the card drawn bears i)An even perfect square number, ii) A number divisible by three or 5.

part C
16. Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + one for a few integer m.
17. Solve the subsequent system of linear formula graphically
2x-3y=5
3x+4y+1=0
.Calculate the area bounded by these lines and y-axis