Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Entrances Gallery>Q 88

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JEE Advanced

IMPORTANT

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If the roots of the equation $x^{2} - b x + c = 0$ are two consecutive integers, then $b^{2} - 4 c$ is equal to

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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>Entrances Gallery>Q 89

If

α

and

β

are the roots of the quadratic equation

x^{2} + x + 1 = 0,

then the equation whose roots are

α^{19}

and

β^{7}

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Entrances Gallery>Q 90

The quadratic equation

x^{2} + 15 | x | + 14 = 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>Entrances Gallery>Q 91

The value of

a

for which the equation

2 x^{2} + 2 \sqrt{6} x + a = 0

has equal roots is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Entrances Gallery>Q 92

If

\frac{3}{2} + \frac{7}{2} i

is a solution of the equation

a x^{2} - 6 x + b = 0,

where

a

and

b

are real numbers, then the value of

a + b

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 5 - Inequalities and Quadratic Equation>Entrances Gallery>Q 93

The roots of the quadratic equation

x^{2} - 2 \sqrt{3} x - 22 = 0

are