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Exam Details

IIT JEE 1999

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Questions 56
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 56 questions in this paper.

Subject distribution

Mathematics
41 Qs
Chemistry
15 Qs

Topic distribution

Algebra
16 Qs
Coordinate Geometry
11 Qs
Calculus
7 Qs
Physical Chemistry
6 Qs
Inorganic Chemistry
4 Qs
Trigonometry
4 Qs
Physical Chemistry
4 Qs
Calculus
3 Qs
Inorganic Chemistry
1 Qs

Subtopic distribution

Vector Algebra
4 Qs
Sequences And Series
4 Qs
Probability
3 Qs
Ellipse
3 Qs
Straight Lines And Pair Of Straight Lines
3 Qs
Definite Integration
3 Qs
Chemical Bonding And Molecular Structure
2 Qs
Structure Of Atom
2 Qs
Some Basic Concepts Of Chemistry
2 Qs
Complex Numbers
2 Qs
Mathematical Induction And Binomial Theorem
2 Qs
Trigonometric Functions And Equations
2 Qs

Difficulty distribution

Medium 29 51.8%
Easy 17 30.4%
Hard 10 17.9%

Question type distribution

Multiple Choices 36 64.3%
Subjective 20 35.7%

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
1999 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
IIT JEE 1999
The correct order of increasing C - O bond length of CO, \(CO_3^{2-}\), CO2 is
A
\(CO_3^{2-}\) < CO2 < CO
B
CO2 < \(CO_3^{2-}\) < CO
C
CO < \(CO_3^{2-}\) < CO2
D
CO < CO2 < \(CO_3^{2-}\)
2
1999 · Mathematics · Algebra · Probability
IIT JEE 1999
Eight players \({P_1},{P_2},.....{P_8}\) play a knock-out tournament. It is known that whenever the players \({P_i}\) and \({P_j}\) play, the player \({P_i}\) will win if \(i < j.\) Assuming that the players are paired at random in each round, what is the probability that the player \({P_4}\) reaches the final?
Write your response
3
1999 · Chemistry · Physical Chemistry · Structure Of Atom
IIT JEE 1999
The electrons, identified by quantum numbers n and l, (i) n = 4, l = 1, (ii) n = 4, l = 0, (iii) n = 3, l = 2 and (iv) n = 3, l = 1 can be placed in order of increasing energy, from the lowest to highest, as
A
(iv)<(ii)<(iii)<(i)
B
(ii)<(iv)<(i)<(iii)
C
(i)<(iii)<(ii)<(iv)
D
(iii)<(i)<(iv)<(ii)
4
1999 · Mathematics · Algebra · Vector Algebra
IIT JEE 1999
Let \(u\) and \(v\) be units vectors. If \(w\) is a vector such that \(w + \left( {w \times u} \right) = v,\) then prove that \(\left| {\left( {u \times v} \right) \cdot w} \right| \le 1/2\) and that the equality holds if and only if \(u\) is perpendicular to \(v .\)
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5
1999 · Chemistry · Inorganic Chemistry · P Block Elements
IIT JEE 1999
The oxidation number of sulphur in S8,S2F2,H2S respectively, are
A
0, +1 and -2
B
+2, +1 and -2
C
0, +1 and +2
D
-2, +1 and -2
6
1999 · Mathematics · Trigonometry · Properties Of Triangle
IIT JEE 1999
Let \(ABC\) be a triangle having \(O\) and \(I\) as its circumcenter and in centre respectively. If \(R\) and \(r\) are the circumradius and the inradius, respectively, then prove that \({\left( {IO} \right)^2} = {R^2} - 2{\mathop{\rm Rr}\nolimits}\). Further show that the triangle BIO is a right-angled triangle if and only if \(b\) is arithmetic mean of \(a\) and \(c\).
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