IIT-JEE 1986 | Quadratic Equation and Inequalities Question 58 | Mathematics

IIT-JEE 1986

MCQ (More than One Correct Answer)

-0.5

If $$S$$ is the set of all real $$x$$ such that $${{2x - 1} \over {2{x^3} + 3{x^2} + x}}$$ is positive, then $$S$$ contains

$$\left( { - \infty ,\, - {\textstyle{3 \over 2}}} \right)$$

$$\left( { - {3 \over 2},\, - {1 \over 4}} \right)$$

$$\left( { - {1 \over 4},\,{1 \over 2}} \right)$$

$$\left( {{1 \over 2},\,3} \right)\,\,\,\,$$

IIT-JEE 1984

MCQ (More than One Correct Answer)

-0.75

For real $$x$$, the function $$\,{{\left( {x - a} \right)\left( {x - b} \right)} \over {x - c}}$$ will assume all real values provided

$$a > b > c$$

$$a < b < c$$

$$a > c > b$$

$$a < c < b$$

JEE Advanced Subjects