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.
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
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
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