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Exam Details

IIT JEE 1987

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Questions 44
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 44 questions in this paper.

Subject distribution

Mathematics
27 Qs
Chemistry
16 Qs
Physics
1 Qs

Topic distribution

Inorganic Chemistry
12 Qs
Algebra
8 Qs
Trigonometry
6 Qs
Calculus
4 Qs
Coordinate Geometry
3 Qs
Algebra
3 Qs
Calculus
3 Qs
Physical Chemistry
2 Qs
Mechanics
1 Qs
Organic Chemistry
1 Qs
Physical Chemistry
1 Qs

Subtopic distribution

Periodic Table And Periodicity
4 Qs
Vector Algebra
4 Qs
Application Of Derivatives
4 Qs
Trigonometric Functions And Equations
4 Qs
Chemical Bonding And Molecular Structure
3 Qs
S Block Elements
3 Qs
Circle
3 Qs
Complex Numbers
3 Qs
Gaseous State
2 Qs
Quadratic Equation And Inequalities
2 Qs
Properties Of Triangle
2 Qs
Isolation Of Elements
1 Qs

Difficulty distribution

Medium 20 45.5%
Easy 19 43.2%
Hard 5 11.4%

Question type distribution

Multiple Choices 23 52.3%
Subjective 12 27.3%
Fill in the blanks 7 15.9%
Numerical Answer Type (NAT) 2 4.5%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
1987 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
IIT JEE 1987
In benzene, carbon uses all the three p-orbitals for hybridisation.
A
TRUE
B
FALSE
2
1987 · Mathematics · Algebra · Probability
IIT JEE 1987
A man takes a step forward with probability \(0.4\) and backwards with probability \(0.6\) Find the probability that at the end of eleven steps he is one step away from the starting point.
Write your response
3
1987 · Physics · Mechanics · Work Power And Energy
IIT JEE 1987
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that :
A
Its velocity is constant
B
its acceleration is constant
C
its kinetic energy is constant
D
it moves in a circular path
4
1987 · Chemistry · Inorganic Chemistry · Periodic Table And Periodicity
IIT JEE 1987
In group IA, of alkali metals, the ionisation potential decreases on moving down the group. Therefore, lithium is a strongest reducing agent
A
TRUE
B
FALSE
5
1987 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1987
The circle \({x^2}\, + \,{y^2} - \,4x\, - 4y + \,4 = 0\) is inscribed in a triangle which has two of its sides along the co-ordinate axes. The locus of the circumcentre of the triangle is \(x\, + \,y\, - xy\, + k\,{\left( {{x^2}\, + \,{y^2}} \right)^{1/2}} = 0\). Find k.
Write your response
6
1987 · Chemistry · Inorganic Chemistry · S Block Elements
IIT JEE 1987
Sodium when burnt in excess of oxygen gives sodium oxide.
A
TRUE
B
FALSE