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Complex Numbers
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Quadratic Equation and Inequalities
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Permutations and Combinations
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Mathematical Induction and Binomial Theorem
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Sequences and Series
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Numerical
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Subjective
Matrices and Determinants
Numerical
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MCQ (Multiple Correct Answer)
Vector Algebra and 3D Geometry
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Numerical
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MCQ (Multiple Correct Answer)
Subjective
True of False
Probability
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Numerical
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MCQ (Multiple Correct Answer)
Subjective
True of False
Trigonometric Functions & Equations
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Properties of Triangle
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Inverse Trigonometric Functions
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Numerical
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MCQ (Multiple Correct Answer)
Subjective
Straight Lines and Pair of Straight Lines
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Circle
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Numerical
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MCQ (Multiple Correct Answer)
Subjective
True of False
Conic Sections
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Functions
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Limits, Continuity and Differentiability
Numerical
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MCQ (Multiple Correct Answer)
Differentiation
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Application of Derivatives
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Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Indefinite Integrals
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MCQ (Single Correct Answer)
Subjective
Definite Integrals and Applications of Integrals
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Numerical
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MCQ (Multiple Correct Answer)
Subjective
True of False
Differential Equations
Numerical
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Subjective
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Previous
1
IIT-JEE 1981
MCQ (Single Correct Answer)
The complex numbers $$z = x + iy$$ which satisfy the equation $$\,\left| {{{z - 5i} \over {z + 5i}}} \right| = 1$$ lie on
A
the x-axis
B
the straight line y=5
C
a circle passing through the origin
D
none of these
CHECK ANSWER
2
IIT-JEE 1980
MCQ (Single Correct Answer)
The smallest positive integer n for which $${\left( {{{1 + i} \over {1 - i}}} \right)^n} = 1$$ is
A
$$n = 8$$
B
$$n = 16$$
C
$$n = 12$$
D
none of these
CHECK ANSWER
3
IIT-JEE 1979
MCQ (Single Correct Answer)
If the cube roots of unity are $$1,\,\omega ,\,{\omega ^2},$$ then the roots of the equation $${\left( {x - 1} \right)^3} + 8 = 0$$ are
A
$$ - 1,1 + 2\omega ,\,1 + 2{\omega ^2}$$
B
$$ - 1,1 - 2\omega ,\,1 - 2{\omega ^2}$$
C
$$ - 1, - 1, - 1$$
D
None of these
CHECK ANSWER
Previous
Questions Asked from Complex Numbers
On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2021 Paper 1 Online (1)
JEE Advanced 2019 Paper 1 Offline (1)
JEE Advanced 2014 Paper 2 Offline (1)
JEE Advanced 2013 Paper 2 Offline (2)
JEE Advanced 2013 Paper 1 Offline (1)
IIT-JEE 2012 Paper 1 Offline (1)
IIT-JEE 2010 Paper 2 Offline (1)
IIT-JEE 2009 (2)
IIT-JEE 2008 (4)
IIT-JEE 2007 (2)
IIT-JEE 2006 (1)
IIT-JEE 2005 Screening (1)
IIT-JEE 2004 Screening (1)
IIT-JEE 2003 Screening (1)
IIT-JEE 2002 (1)
IIT-JEE 2002 Screening (1)
IIT-JEE 2001 Screening (2)
IIT-JEE 2000 Screening (2)
IIT-JEE 1999 (1)
IIT-JEE 1996 (1)
IIT-JEE 1995 Screening (3)
IIT-JEE 1992 (1)
IIT-JEE 1985 (1)
IIT-JEE 1983 (2)
IIT-JEE 1982 (2)
IIT-JEE 1981 (1)
IIT-JEE 1980 (1)
IIT-JEE 1979 (1)
Chapters Map
Algebra
Complex Numbers
Quadratic Equation and Inequalities
Permutations and Combinations
Mathematical Induction and Binomial Theorem
Sequences and Series
Matrices and Determinants
Vector Algebra and 3D Geometry
Probability
Trigonometry
Trigonometric Functions & Equations
Properties of Triangle
Inverse Trigonometric Functions
Coordinate Geometry
Straight Lines and Pair of Straight Lines
Circle
Conic Sections
Calculus
Functions
Limits, Continuity and Differentiability
Differentiation
Application of Derivatives
Indefinite Integrals
Definite Integrals and Applications of Integrals
Differential Equations
Joint Entrance Examination
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Class 12