Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 167

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

If $x$ is an integer satisfying $x^{2} - 6 x + 5 \leq 0$ and $x^{2} - 2 x > 0,$ then the number of possible values of $x$ is

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Important Questions on Inequalities and Quadratic Equation

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 168

If

\frac{6 x^{2} - 5 x - 3}{x^{2} - 2 x + 6} \leq 4,

then the least and highest values of

4 x^{2}

are

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 169

The inequality

|2 x - 3| < 1

is valid, when

x

lies in the interval

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 170

The set of real values of

x

, satisfying

||x - 1| - 1| \leq 1

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 171

If

5^{x} + {(2 \sqrt{3})}^{2 x} \geq 13^{x},

then the solution set for

x

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 172

If

\log_{10} x + \log_{10} y \geq 2

, then the smallest possible value of

x + y

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 173

If

x \in R,

then

\frac{x^{2} - x + 1}{x^{2} + x + 1}

takes values in the interval

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 174

If

y = f (x) = \tan x \cot 3 x,

then

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 175

The real values of

x

, for which

3^{72} {(\frac{1}{3})}^{x} {(\frac{1}{3})}^{\sqrt{x}} > 1

are