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Exam Details

IIT JEE 1998

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Questions 68
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

Filter this paper by subject, topic or subtopic. Every graph updates from the selected questions.

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Showing all 68 questions in this paper.

Subject distribution

Mathematics
50 Qs
Chemistry
16 Qs
Physics
2 Qs

Topic distribution

Algebra
21 Qs
Coordinate Geometry
10 Qs
Calculus
9 Qs
Physical Chemistry
8 Qs
Trigonometry
7 Qs
Inorganic Chemistry
5 Qs
Mechanics
2 Qs
Physical Chemistry
2 Qs
Algebra
2 Qs
Inorganic Chemistry
1 Qs
Calculus
1 Qs

Subtopic distribution

Probability
8 Qs
Vector Algebra
5 Qs
Application Of Derivatives
5 Qs
Structure Of Atom
5 Qs
Properties Of Triangle
4 Qs
Straight Lines And Pair Of Straight Lines
4 Qs
Chemical Bonding And Molecular Structure
3 Qs
Trigonometric Functions And Equations
3 Qs
Circle
3 Qs
Definite Integration
3 Qs
Sequences And Series
3 Qs
Complex Numbers
3 Qs

Difficulty distribution

Easy 39 57.4%
Medium 24 35.3%
Hard 5 7.4%

Question type distribution

Multiple Choices 45 66.2%
Subjective 23 33.8%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
1998 · Chemistry · Physical Chemistry · Solutions
IIT JEE 1998
A solution of a nonvolatile solute in water freezes at -0.30oC. The vapour pressure of pure water at 298 K s 23.51 mm Hg and Kf for water is 1.86 K kg mol-1. Calculate the vapour pressure of this solution at 298 K.
Write your response
2
1998 · Mathematics · Trigonometry · Trigonometric Functions And Equations
IIT JEE 1998
Prove that \(\tan \,\alpha + 2\tan 2\alpha + 4\tan 4\alpha + 8\cot 8\alpha = \cot \alpha\)
Write your response
3
1998 · Physics · Mechanics · Units And Measurements
IIT JEE 1998
The SI unit of inductance, the henry can be written as
A
weber/ampere
B
volt-sec/amp
C
Joule/(ampere)2
D
ohm-second
4
1998 · Chemistry · Inorganic Chemistry · Hydrogen
IIT JEE 1998
Hydrogen peroxide acts both as an oxidising and as a reducing agent in alkaline solution towards certain first row transition metal ions. Illustrate both these properties of H2O2 using chemical equations.
Write your response
5
1998 · Mathematics · Trigonometry · Properties Of Triangle
IIT JEE 1998
Prove that a triangle \(ABC\) is equilateral if and only if \(\tan A + \tan B + \tan C = 3\sqrt 3\).
Write your response
6
1998 · Physics · Mechanics · Units And Measurements
IIT JEE 1998
Let [\({\mathrm\varepsilon}_\mathrm o\)] denote the dimentional formula of the permittivity of the vacuum, and [\(\mu_o\)] that of the permeability of the vacuum.If M = mass, L = length, T = time and I = electric current,
A
\(\left[{\mathrm\varepsilon}_\mathrm o\right]\;=\;\mathrm M^{-1}\mathrm L^{-3}\mathrm T^2\;\mathrm I\)
B
\(\left[{\mathrm\varepsilon}_\mathrm o\right]\;=\;\mathrm M^{-1}\mathrm L^{-3}\mathrm T^4\mathrm I^2\)
C
\(\left[{\mathrm\mu}_\mathrm o\right]\;=\;\mathrm{MLT}^{-2}\mathrm I^{-2}\)
D
\(\left[{\mathrm\mu}_\mathrm o\right]\;=\;\mathrm{ML}^2\mathrm T^{-1}\;\mathrm I\)