1

IIT-JEE 1989

MCQ (More than One Correct Answer)

+2

-0.5

The equation $${x^{3/4{{\left( {{{\log }_2}\,\,x} \right)}^2} + {{\log }_2}\,\,x - 5/4}} = \sqrt 2 $$ has

2

IIT-JEE 1989

MCQ (More than One Correct Answer)

+2

-0.5

If $$\alpha $$ and $$\beta $$ are the roots of $${x^2}$$+ px + q = 0 and $${\alpha ^4},{\beta ^4}$$ are the roots of $$\,{x^2} - rx + s = 0$$, then the equation $${x^2} - 4qx + 2{q^2} - r = 0$$ has always

3

IIT-JEE 1989

MCQ (More than One Correct Answer)

+2

-0.5

Let a, b, c be real numbers, $$a \ne 0$$. If $$\alpha \,$$ is a root of $${a^2}{x^2} + bx + c = 0$$. $$\beta \,$$ is the root of $${a^2}{x^2} - bx - c = 0$$ and $$0 < \alpha \, < \,\beta $$, then the equation $${a^2}{x^2} + 2bx + 2c = 0$$ has a root $$\gamma $$ that always satisfies

4

IIT-JEE 1986

MCQ (More than One Correct Answer)

+2

-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

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

Number in Brackets after Paper Indicates No. of Questions

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