1

AIEEE 2008

MCQ (Single Correct Answer)

+4

-1

**STATEMENT - 1 :**For every natural number $$n \ge 2,$$ $$${1 \over {\sqrt 1 }} + {1 \over {\sqrt 2 }} + ........ + {1 \over {\sqrt n }} > \sqrt n .$$$

**STATEMENT - 2 :** For every natural number $$n \ge 2,$$,
$$$\sqrt {n\left( {n + 1} \right)} < n + 1.$$$

2

AIEEE 2007

MCQ (Single Correct Answer)

+4

-1

If the difference between the roots of the equation $${x^2} + ax + 1 = 0$$ is less than $$\sqrt 5 ,$$ then the set of possible values of $$a$$ is

3

AIEEE 2006

MCQ (Single Correct Answer)

+4

-1

If the roots of the quadratic equation $${x^2} + px + q = 0$$ are $$\tan {30^ \circ }$$ and $$\tan {15^ \circ }$$, respectively, then the value of $$2 + q - p$$ is

4

AIEEE 2006

MCQ (Single Correct Answer)

+4

-1

All the values of $$m$$ for which both roots of the equation $${x^2} - 2mx + {m^2} - 1 = 0$$ are greater than $$ - 2$$ but less then 4, lie in the interval

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

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