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1
IIT-JEE 2006
MCQ (Single Correct Answer)
Let $$a,\,b,\,c$$ be the sides of triangle where $$a \ne b \ne c$$ and $$\lambda \in R$$.
If the roots of the equation $${x^2} + 2\left( {a + b + c} \right)x + 3\lambda \left( {ab + bc + ca} \right) = 0$$ are real, then
A
$$\lambda < {4 \over 3}$$
B
$$\lambda > {5 \over 3}$$
C
$$\lambda \in \left( {{1 \over 3},\,{5 \over 3}} \right)$$
D
$$\lambda \in \left( {{4 \over 3},\,{5 \over 3}} \right)$$
CHECK ANSWER
2
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
For all $$'x',{x^2} + 2ax + 10 - 3a > 0,$$ then the interval in which '$$a$$' lies is
A
$$a < - 5$$
B
$$ - 5 < a < 2$$
C
$$a > 5$$
D
$$2 < a < 5$$
CHECK ANSWER
3
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
If one root is square of the other root of the equation $${x^2} + px + q = 0$$, then the realation between $$p$$ and $$q$$ is
A
$${p^3} - q\left( {3p - 1} \right) + {q^2} = 0$$
B
$${p^3} - q\left( {3p + 1} \right) + {q^2} = 0$$
C
$${p^3} + q\left( {3p - 1} \right) + {q^2} = 0$$
D
$${p^3} + q\left( {3p + 1} \right) + {q^2} = 0$$
CHECK ANSWER
4
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
If $$\,\alpha \in \left( {0,{\pi \over 2}} \right)\,\,then\,\,\sqrt {{x^2} + x} + {{{{\tan }^2}\alpha } \over {\sqrt {{x^2} + x} }}$$ is always greater than or equal to
A
$$2\,\tan \alpha \,$$
B
1
C
2
D
$${\sec ^2}\,\alpha $$
CHECK ANSWER
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Questions Asked from Quadratic Equation and Inequalities
On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2020 Paper 1 Offline (1)
JEE Advanced 2017 Paper 2 Offline (2)
JEE Advanced 2016 Paper 1 Offline (1)
JEE Advanced 2014 Paper 2 Offline (1)
IIT-JEE 2012 Paper 2 Offline (1)
IIT-JEE 2011 Paper 2 Offline (1)
IIT-JEE 2011 Paper 1 Offline (2)
IIT-JEE 2010 Paper 1 Offline (1)
IIT-JEE 2008 (1)
IIT-JEE 2007 (1)
IIT-JEE 2006 (1)
IIT-JEE 2004 Screening (2)
IIT-JEE 2003 Screening (1)
IIT-JEE 2002 Screening (2)
IIT-JEE 2000 Screening (4)
IIT-JEE 1999 (1)
IIT-JEE 1998 (1)
IIT-JEE 1994 (3)
IIT-JEE 1992 (1)
IIT-JEE 1991 (1)
IIT-JEE 1990 (1)
IIT-JEE 1987 (1)
IIT-JEE 1986 (1)
IIT-JEE 1985 (1)
IIT-JEE 1984 (2)
IIT-JEE 1982 (4)
IIT-JEE 1980 (3)
IIT-JEE 1979 (4)
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