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Permutations and Combinations
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Mathematical Induction and Binomial Theorem
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Sequences and Series
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Matrices and Determinants
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Vector Algebra and 3D Geometry
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Probability
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Properties of Triangle
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Inverse Trigonometric Functions
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Straight Lines and Pair of Straight Lines
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Circle
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Conic Sections
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Limits, Continuity and Differentiability
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Differentiation
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Application of Derivatives
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Indefinite Integrals
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Definite Integrals and Applications of Integrals
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Differential Equations
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1
IIT-JEE 1984
True or False
If a < b < c < d, then the roots of the equation (x - a) (x - c) + 2 ( x - b) (x - d) = 0 are real and distinct.
A
TRUE
B
FALSE
CHECK ANSWER
2
IIT-JEE 1983
True or False
The equation $$2{x^2} + 3x + 1 = 0$$ has an irrational root.
A
TRUE
B
FALSE
CHECK ANSWER
3
IIT-JEE 1981
True or False
For every integer n > 1, the inequality $${(n!)^{1/n}} < {{n + 1} \over 2}$$ holds.
A
TRUE
B
FALSE
CHECK ANSWER
Previous
Questions Asked from Quadratic Equation and Inequalities
On those following papers in True of False
Number in Brackets after Paper Indicates No. of Questions
IIT-JEE 1989 (1)
IIT-JEE 1985 (2)
IIT-JEE 1984 (1)
IIT-JEE 1983 (1)
IIT-JEE 1981 (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
JEE Main
JEE Advanced
WB JEE
Graduate Aptitude Test in Engineering
GATE CSE
GATE ECE
GATE EE
GATE ME
GATE CE
GATE PI
GATE IN
Medical
NEET
CBSE
Class 12