1

JEE Advanced 2015 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Let $$S$$ be the set of all non-zero real numbers $$\alpha $$ such that the quadratic equation $$\alpha {x^2} - x + \alpha = 0$$ has two distinct real roots $${x_1}$$ and $${x_2}$$ satisfying the inequality $$\left| {{x_1} - {x_2}} \right| < 1.$$ Which of the following intervals is (are) $$a$$ subset(s) os $$S$$?

2

JEE Advanced 2013 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

If $${3^x}\, = \,{4^{x - 1}},$$ then $$x\, = $$

3

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

4

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

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

Number in Brackets after Paper Indicates No. of Questions

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