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# IIT JEE – 2009 MATHEMATICS – PAPER & ANALYSIS

IIT JEE – 2009 MATHEMATICS – PAPER & ANALYSIS:
IIT JEE is one of the toughest examinations in the world. In the year 2009 this exam was conducted in two parts, first was PAPER-1 and second was PAPER-2. There were 20 questions in PAPER-1 and 19 questions in PAPER-2 of each subject. Each paper was consisting of 60 and 57 questions respectively. Paper-1 and Paper-2 both were of 240 marks. This whole booklet is very useful from exam point of view. This booklet consists of three different parts.

• First part consists of the analysis of the MATHEMATICS part in Paper-1 and Paper-2. Analysis is very helpful in many aspects; it will help you in understanding:
1. Importance of chapters.
3. Trend of the papers.
• Second part contains the marking scheme and type of questions asked in the Question Papers.
• Third and the last part contain all the questions asked in MATHEMATICS in Paper-1 and Paper-2 with the answers. This part will help you in understanding the difficulty level of the exam.

QUESTIONS:

Q. The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
(A) 55                            (B) 66
(C) 77                            (D) 88

Ans. (C)

Q. Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations:
3x – y – z = 0
– 3x + z = 0
-3x + 2y +z = 0.
Then the number of such points for which x2 + y2 + z2 = 100 is

Ans. (7)