Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 106

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JEE Advanced

IMPORTANT

Earn 100

The set of values of $m$ for which the roots of the equation $x^{2} - (m + 1) x + m + 4 = 0$ are real and negative consists of all $m$ such that

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Important Questions on Inequalities and Quadratic Equation

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 107

If

a \leq 0,

then the roots of the equation

x^{2} - 2 a |x - a| - 3 a^{2} = 0

are

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 108

For

a \geq 0,

the roots of the equation

x^{2} - 2 a |x - a| - 3 a^{2} = 0

are given by

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 109

The value of

x

for which

2^{x / 2} + {(\sqrt{2} + 1)}^{x} = {(5 + 2 \sqrt{2})}^{x / 2},

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 110

If

{[x]}^{2} = [x + 2]

, where

[x]

is the greatest integer less than or equal to

x

, then

x

must be such that

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 111

Number of real roots of the equation

e^{\sin x} - e^{- \sin x} - 4 = 0

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 112

The roots of the equation

x^{\sqrt{x}} = \sqrt{x^{x}}, x > 0

are

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IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 113

The quadratic equation

8 \sec^{2} θ - 6 \sec θ + 1 = 0

has

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Target Exercises>Q 114

If

\log_{2} x + \log_{x} 2 = \frac{10}{3} = \log_{2} y + \log_{y} 2

and

x \neq y

, then

x + y^{3}

is equal to