1

JEE Main 2014 (Offline)

MCQ (Single Correct Answer)

+4

-1

If $$a \in R$$ and the equation $$ - 3{\left( {x - \left[ x \right]} \right)^2} + 2\left( {x - \left[ x \right]} \right) + {a^2} = 0$$ (where [$$x$$] denotes the greater integer $$ \le x$$) has no integral solution, then all possible values of a lie in the interval :

2

JEE Main 2014 (Offline)

MCQ (Single Correct Answer)

+4

-1

Let $$\alpha $$ and $$\beta $$ be the roots of equation $$p{x^2} + qx + r = 0,$$ $$p \ne 0.$$ If $$p,\,q,\,r$$ in A.P. and $${1 \over \alpha } + {1 \over \beta } = 4,$$ then the value of $$\left| {\alpha - \beta } \right|$$ is :

3

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)

+4

-1

If the equations $${x^2} + 2x + 3 = 0$$ and $$a{x^2} + bx + c = 0,$$ $$a,\,b,\,c\, \in \,R,$$ have a common root, then $$a\,:b\,:c\,$$ is

4

AIEEE 2012

MCQ (Single Correct Answer)

+4

-1

The equation $${e^{\sin x}} - {e^{ - \sin x}} - 4 = 0$$ has:

Questions Asked from Quadratic Equation and Inequalities (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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